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Paper Citation Record · LEDGER

On K\"ahler-Einstein Currents

As of 10 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 5 inbound Pith citation observations for arXiv:2502.09825.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.09825 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:35:39.372248Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:34:50.179529Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T23:34:04.549984Z

Reference resolution

43 of 43 outbound references displayed

  • verified exact3
  • verified fuzzy29
  • unresolved11
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd75ae64-694b-41d3-9b5d-3f2fc2d10393 · outbound

This paper cites Bakry- ´Emery curvature-dimension condition and Riemannian Ricci curvature bounds, Ann.

On K\"ahler-Einstein Currents Bakry- ´Emery curvature-dimension condition and Riemannian Ricci curvature bounds, Ann

Reference 1

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8e561bf1-d06e-422d-8ad5-7a0a52cb006f · outbound

This paper cites J., Boucksom, S., Eyssidieux, P., Guedj, V., a nd Zeriahi, A.

On K\"ahler-Einstein Currents J., Boucksom, S., Eyssidieux, P., Guedj, V., a nd Zeriahi, A

Reference 2

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raw_fallback, observed 2026-08-07T20:35:40.227205Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 75e88b86-6f07-4da1-a42e-4c53705906fd · outbound

This paper cites Weighted extremal K¨ ahler metrics on resolutions of singu- larities, arXiv:2412.06096.

On K\"ahler-Einstein Currents Weighted extremal K¨ ahler metrics on resolutions of singu- larities, arXiv:2412.06096

Reference 3

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no resolver link, observed 2026-08-07T20:35:39.177269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation faf2537f-909d-40d7-8a18-aa1d78df7cff · outbound

This paper cites On Regularization of Plurisubharmonic Functions on Manifo lds, Proceedings of the American Mathematical Society (2007), 135(7), 2089–20 93.

On K\"ahler-Einstein Currents On Regularization of Plurisubharmonic Functions on Manifo lds, Proceedings of the American Mathematical Society (2007), 135(7), 2089–20 93

Reference 4

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source=pdf_text observed=2026-08-07T20:35:39.182151Z digest=sha256:52d0073f9ae71441f04847d96f2dc09be8d034f4d48a69a3501ff606a4dafe9a

Observation af99c81e-0df1-48ca-bb7e-a5e0cc048ba1 · outbound

This paper cites Complex optimal transport and the pluripotential theory of K\"ahler-Ricci solitons.

On K\"ahler-Einstein Currents Complex optimal transport and the pluripotential theory of K\"ahler-Ricci solitons

Reference 5

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verified exact
local_arxiv, observed 2026-08-07T20:35:39.691386Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation f022c94a-40d3-4191-a282-361a6a0dd14e · outbound

This paper cites K¨ ahler-Einstein metrics on Fano manifolds.

On K\"ahler-Einstein Currents K¨ ahler-Einstein metrics on Fano manifolds

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-07T20:35:40.196675Z

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Observation c68b07e3-95cb-4cfc-a6e5-9d68a6a3ccb6 · outbound

This paper cites Y., Yau, S.

On K\"ahler-Einstein Currents Y., Yau, S

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.197641Z digest=sha256:8e9c2d5e42dc4d706382672e3533b531dffe7b2971ae5a332acbc85dd292071c

Observation 25a414c5-6447-45c4-bde1-84d31807c03b · outbound

This paper cites Continuity of solutions to complex Monge-Amp\`{e}re equations on compact K\"{a}hler spaces.

On K\"ahler-Einstein Currents Continuity of solutions to complex Monge-Amp\`{e}re equations on compact K\"{a}hler spaces

Reference 8

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verified exact
local_arxiv, observed 2026-08-07T20:35:39.669519Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.202352Z digest=sha256:bebab17f51bfc4704b717961d6f356f2ee40a29d4091e2dc8a43e48eeed4d145

Observation 4ad715d7-89ec-457f-bd83-44dc328501aa · outbound

This paper cites Extension of plurisubharmonic functions with growth contr ol, Journal f¨ ur reine und ang.

On K\"ahler-Einstein Currents Extension of plurisubharmonic functions with growth contr ol, Journal f¨ ur reine und ang

Reference 9

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Observation 0303ce85-7861-458f-8f35-e2f8589c2cdb · outbound

This paper cites Equidistribution for sequences of line bundles on normal K¨ ahler spaces, Geom.

On K\"ahler-Einstein Currents Equidistribution for sequences of line bundles on normal K¨ ahler spaces, Geom

Reference 10

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 332c70cf-f0a3-4a70-a368-9472a1cbecea · outbound

This paper cites Non-collapsed spaces with Ricci curvature bounded from bel ow, J.

On K\"ahler-Einstein Currents Non-collapsed spaces with Ricci curvature bounded from bel ow, J

Reference 11

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation b21f7b71-e5e9-4a22-8f62-79b0f81fe39e · outbound

This paper cites an unresolved cited work.

On K\"ahler-Einstein Currents Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation e9e86d76-2a6f-4579-a305-4cf1cc589359 · outbound

This paper cites A decomposition theorem for Q-Fano K¨ ahler-Einstein varie ties, C.

On K\"ahler-Einstein Currents A decomposition theorem for Q-Fano K¨ ahler-Einstein varie ties, C

Reference 13

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 3efef82f-83b6-46f2-a01c-ba35f98eb910 · outbound

This paper cites Singular K¨ ahler-Einstein metrics, J.

On K\"ahler-Einstein Currents Singular K¨ ahler-Einstein metrics, J

Reference 14

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 425c8057-162e-40ea-a8e4-a4db47a69be7 · outbound

This paper cites Plurisubharmonische Funktionen in komplexen R¨ aumen, Math.

On K\"ahler-Einstein Currents Plurisubharmonische Funktionen in komplexen R¨ aumen, Math

Reference 15

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 57715b6a-0836-4ff7-b062-7f6cf4bc28dd · outbound

This paper cites Klt varieties with trivial canonical class: holonomy, diffe rential forms, and fundamental groups , Geom.

On K\"ahler-Einstein Currents Klt varieties with trivial canonical class: holonomy, diffe rential forms, and fundamental groups , Geom

Reference 16

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Observation ad7e2c4b-65a7-470e-8fb1-92696096e0af · outbound

This paper cites A., and Harris, J.

On K\"ahler-Einstein Currents A., and Harris, J

Reference 17

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 479401b7-99a6-42bf-8eca-68d4321041d7 · outbound

This paper cites Strict positivity of K¨ ahler-Einstein currents, Forum of Mathematics, Sigma.

On K\"ahler-Einstein Currents Strict positivity of K¨ ahler-Einstein currents, Forum of Mathematics, Sigma

Reference 18

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 89d6f2ff-7693-411b-a9ec-db9cdd6e042d · outbound

This paper cites an unresolved cited work.

On K\"ahler-Einstein Currents Unresolved cited work

Reference 19

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 1dc74495-3593-428a-b133-44c563256056 · outbound

This paper cites K\"ahler families of Green's functions.

On K\"ahler-Einstein Currents K\"ahler families of Green's functions

Reference 20

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no resolver link, observed 2026-08-07T20:35:39.261030Z

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source=pdf_text observed=2026-08-07T20:35:39.261030Z digest=sha256:53911a74fc735906fbe12b792e5f615dba1d9e9cc4573c8d3a53bdce08f25eca

Observation 85fcf08c-2003-440c-aedf-f20fc60ac67b · outbound

This paper cites Degenerate complex Monge-Amp` ere equations , EMS Tracts in Mathematics, 26, Eur.

On K\"ahler-Einstein Currents Degenerate complex Monge-Amp` ere equations , EMS Tracts in Mathematics, 26, Eur

Reference 21

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Observation 4d339d08-0ec8-42e6-b870-2e45b298d8fc · outbound

This paper cites Semistability of the tangent sheaf of singular varieties , Algebr.

On K\"ahler-Einstein Currents Semistability of the tangent sheaf of singular varieties , Algebr

Reference 22

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.271124Z digest=sha256:de9a36c0bd50b6e1906116512e5a50dca1a0f40a74d1e8ebaa0391b0a7700267

Observation fb405d24-dedc-4f62-92e0-2f4c4de89913 · outbound

This paper cites Bogomolov-Gieseker inequality for log terminal K\"ahler threefolds.

On K\"ahler-Einstein Currents Bogomolov-Gieseker inequality for log terminal K\"ahler threefolds

Reference 23

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no resolver link, observed 2026-08-07T20:35:39.276140Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:35:39.276140Z digest=sha256:7e6aab81ddeb86d515f711700fc07267a07ade6775045a0ddccea9d80b67b14e

Observation 08ea6df6-7a90-4458-aca5-bef5c0fa600c · outbound

This paper cites Sobolev inequalities on K\"ahler spaces.

On K\"ahler-Einstein Currents Sobolev inequalities on K\"ahler spaces

Reference 24

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no resolver link, observed 2026-08-07T20:35:39.281376Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:35:39.281376Z digest=sha256:e211378f508021714dbc93a3c50fffac130154c2f912ad24a54d61a960d6bb1a

Observation 30fb32c5-824a-4210-bf07-9652fbfceebb · outbound

This paper cites H., Song, J., Sturm, J.

On K\"ahler-Einstein Currents H., Song, J., Sturm, J

Reference 25

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raw_fallback, observed 2026-08-07T20:35:39.971632Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 3ff7bc71-02f5-45ae-8775-27ba319de972 · outbound

This paper cites H., Tong, F.

On K\"ahler-Einstein Currents H., Tong, F

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:35:39.957122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.291887Z digest=sha256:5af9584ecafb0271781d4dc283336b1a43e234818bc5444e398da9745b07bf62

Observation 50b00da4-6180-4590-91f2-667624f50046 · outbound

This paper cites Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics.

On K\"ahler-Einstein Currents Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T20:35:39.296482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:35:39.296482Z digest=sha256:170cc49210234b4123c50844cabe3f36ee2d64d2ee07f79e02e7d1d5b2f8f90c

Observation 09787db9-74b2-46a8-b679-1f339c866f5f · outbound

This paper cites On the Yau-Tian-Donaldson Conjecture for Generalized K¨ ah ler-Ricci Soliton Equations.

On K\"ahler-Einstein Currents On the Yau-Tian-Donaldson Conjecture for Generalized K¨ ah ler-Ricci Soliton Equations

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-07T20:35:39.941799Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.302015Z digest=sha256:f532999591afc34042980f0e7cccdb3cba27ef715a337119c0bf6af52d1bc71e

Observation b841eada-d56a-4a38-906e-040f425e38cd · outbound

This paper cites Bakry- ´Emery conditions on almost smooth metric measure spaces , Anal.

On K\"ahler-Einstein Currents Bakry- ´Emery conditions on almost smooth metric measure spaces , Anal

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:35:39.926090Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.306966Z digest=sha256:dfa768629aed036496070c98449b9c1d5a9b8cb3773b5645545a4d162cd3f95d

Observation 7949e122-0020-46d3-9eb2-d5a9ddf91ebe · outbound

This paper cites Lectures on Resolutions of Singularities.

On K\"ahler-Einstein Currents Lectures on Resolutions of Singularities

Reference 30

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verified fuzzy
raw_fallback, observed 2026-08-07T20:35:39.910644Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.311501Z digest=sha256:8a951413ac9ce827580f0f8909cf3013cf0ce10580c8abc9de87dcf573cabe20

Observation d204ca91-2df0-442d-b3cb-2a564c6459ef · outbound

This paper cites G-uniform stability and K¨ ahler–Einstein metrics on Fano v arieties, Invent.

On K\"ahler-Einstein Currents G-uniform stability and K¨ ahler–Einstein metrics on Fano v arieties, Invent

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:35:39.895471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.316243Z digest=sha256:3f589d37bc7e0b523ac12e142e583408ca60f6cc02caf9a2d7a146c4b5f21582

Observation 46eaf272-c267-4ca6-9f65-bd3ca589e612 · outbound

This paper cites On the Yau-Tian-Donaldson conjecture for singular Fano var ieties, Comm.

On K\"ahler-Einstein Currents On the Yau-Tian-Donaldson conjecture for singular Fano var ieties, Comm

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:35:39.880887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.320678Z digest=sha256:365b28b5069b29861f3f2eb30fddf13df554d8cc7228df02806eaadacd1808a1

Observation 9821b980-7d37-4198-81d2-7f7f5e3820b0 · outbound

This paper cites Gromov-Hausdorff limits of K¨ ahler manifolds with Ricci curvature bounded below, Geom.

On K\"ahler-Einstein Currents Gromov-Hausdorff limits of K¨ ahler manifolds with Ricci curvature bounded below, Geom

Reference 33

Resolution
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raw_fallback, observed 2026-08-07T20:35:39.864242Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:35:39.325112Z digest=sha256:17232dda122a6b88203439efaf33fc7a2d9d014ab04ff96a07744ba9a5cf905f

Observation 0686758a-3279-41b3-bc86-e65046c1740e · outbound

This paper cites Finite generation for valuations computing stability thre sholds and applica- tions to K-stability , Ann.

On K\"ahler-Einstein Currents Finite generation for valuations computing stability thre sholds and applica- tions to K-stability , Ann

Reference 34

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raw_fallback, observed 2026-08-07T20:35:39.845611Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation dfcfc6ff-6b6d-4836-aa19-277e6d8e6f63 · outbound

This paper cites an unresolved cited work.

On K\"ahler-Einstein Currents Unresolved cited work

Reference 35

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8afac1c7-21ed-4fcd-adfe-1f00541e47e4 · outbound

This paper cites Singular cscK metrics on smoothable varieties.

On K\"ahler-Einstein Currents Singular cscK metrics on smoothable varieties

Reference 36

Resolution
unresolved
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Unavailable: canonical work link unavailable.

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Observation d505ed83-7b25-4893-8b0c-4c46bfddc45f · outbound

This paper cites On the gradient estimate of Cheng and Yau.

On K\"ahler-Einstein Currents On the gradient estimate of Cheng and Yau

Reference 37

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation db1663fb-f3bb-4f5b-8a93-53945856a359 · outbound

This paper cites Small perturbation solutions for elliptic equations , Comm.

On K\"ahler-Einstein Currents Small perturbation solutions for elliptic equations , Comm

Reference 38

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 7107ea12-f6d3-4681-a1b8-c256e3f50957 · outbound

This paper cites Riemannian geometry of Kahler-Einstein currents.

On K\"ahler-Einstein Currents Riemannian geometry of Kahler-Einstein currents

Reference 39

Resolution
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Unavailable: canonical work link unavailable.

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Observation c3a0b867-eb7e-4392-9cc0-55ef667852f9 · outbound

This paper cites Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow.

On K\"ahler-Einstein Currents Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow

Reference 40

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no resolver link, observed 2026-08-07T20:35:39.357010Z

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Unavailable: canonical work link unavailable.

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Observation c33c4b61-ba6f-4b6e-bb6a-d1d26438af3d · outbound

This paper cites Singular K\"ahler-Einstein metrics and RCD spaces.

On K\"ahler-Einstein Currents Singular K\"ahler-Einstein metrics and RCD spaces

Reference 41

Resolution
unresolved
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source=pdf_text observed=2026-08-07T20:35:39.362566Z digest=sha256:1b47c44938558b74918ec287b767488218ce849dcf8068afce642e0e8f80ae22

Observation 27979a6d-8c86-4d5c-9a47-248692954a6c · outbound

This paper cites On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equation.

On K\"ahler-Einstein Currents On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equation

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 4220baaf-142f-4c75-83c7-61a4e6168728 · outbound

This paper cites K¨ ahler-Ricci soliton typed equations on compact complex m anifolds with C1(M ) > 0, J.

On K\"ahler-Einstein Currents K¨ ahler-Ricci soliton typed equations on compact complex m anifolds with C1(M ) > 0, J

Reference 43

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Pith citing papers

Observation 8553d996-1d34-4a8b-9975-0080b5f3fa20 · inbound

Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations cites this paper.

Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations On K\"ahler-Einstein Currents

Reference 8

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Unavailable: canonical work link unavailable.

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Observation 815595c4-6cd6-42ac-8746-1e9ea72ed9bf · inbound

A note on orbifold regularity of canonical metrics cites this paper.

A note on orbifold regularity of canonical metrics On K\"ahler-Einstein Currents

Reference 5

Resolution
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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T19:32:22.296131Z digest=sha256:593164007a58a7b0ccf49381e989ff29dfca9803c56869c0647616206ec6cbca

Observation 83fa619a-771e-4e16-8313-d9acbdf7b5a8 · inbound

SNC K\"ahler-Einstein metrics and RCD spaces cites this paper.

SNC K\"ahler-Einstein metrics and RCD spaces On K\"ahler-Einstein Currents

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T08:05:35.906911Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:05:35.906911Z digest=sha256:b8ad9dc7bf01d2536085dd1a63515e24725d6ba114b8d2dcade5d7e943cb583c

Observation 8c10addb-8c4d-402f-9af6-e82f1fa488b8 · inbound

Singular K\"ahler-Ricci Shrinkers are Complex Analytic cites this paper.

Singular K\"ahler-Ricci Shrinkers are Complex Analytic On K\"ahler-Einstein Currents

Reference 4

Resolution
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Observation e56bb064-2851-4144-b3f5-22d7f9dc6d74 · inbound

Gromov-Hausdorff Limits of Noncollapsed K\"ahler-Ricci Flows and the Geometry of Ricci Shrinkers cites this paper.

Gromov-Hausdorff Limits of Noncollapsed K\"ahler-Ricci Flows and the Geometry of Ricci Shrinkers On K\"ahler-Einstein Currents

Reference 7

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