Paper Citation Record · LEDGER

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases

As of 9 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2605.29258.

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

pith.paper-citation-record.v1
2605.29258 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T06:03:09.033304Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T04:23:38.902030Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T04:23:40.522733Z

Reference resolution

51 of 51 outbound references displayed

verified exact10
verified fuzzy0
unresolved41
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External citation measurements

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Outbound references

Observation 36de8602-047f-4dc7-a979-9ac079f53e87 · outbound

This paper cites Bedford and B.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Bedford and B

Reference 1

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Observation 00116347-befa-423a-b9ed-a0ffb41c26d1 · outbound

This paper cites Bedford and B.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Bedford and B

Reference 2

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Observation 35de8187-3a58-43b5-8ac3-bb5afa935fef · outbound

This paper cites Błocki and S.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Błocki and S

Reference 3

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Observation cfd56c9d-6cf9-45e9-a3c7-67f9d6dfbe30 · outbound

This paper cites Boucksom, P.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Boucksom, P

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 1ce4b1e9-e21d-4ac0-b0c8-3711958d770a · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 5

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Observation 32286398-61d2-4d0b-a204-de5596b1f16e · outbound

This paper cites Chen, The J-equation and the supercritical deformed Hermitian-Yang-Mills equation, Invent.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Chen, The J-equation and the supercritical deformed Hermitian-Yang-Mills equation, Invent

Reference 6

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Observation 20ed1e65-a73f-464d-8b62-ee27cd743662 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 46a4d1dd-038c-4105-84f4-3763296d5770 · outbound

This paper cites Cheng and Y.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Cheng and Y

Reference 8

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Observation cb9747b1-fe91-48e2-973a-99e135a5a3ed · outbound

This paper cites Viscosity solution to complex Hessian quotient equations.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Viscosity solution to complex Hessian quotient equations

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:32.034938Z

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Observation 90462174-8607-484a-aa59-603c0e6f70bf · outbound

This paper cites Hypercritical deformed Hermitian-Yang-Mills equation.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Hypercritical deformed Hermitian-Yang-Mills equation

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:32.032410Z

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Observation dbe951ee-372e-4798-b36d-624482ab6003 · outbound

This paper cites Chu, M.-C.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Chu, M.-C

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation d5328a47-21fc-48e4-8ab1-4973d7a6e5d4 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 25ccd5d5-18dc-4b3c-a4eb-a7d498472b71 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 62683e48-10b8-46bb-aa3e-86285bc7c578 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 14

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Observation 070630c1-a83d-46b6-bcca-dcefcd52e50d · outbound

This paper cites Darvas, E.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Darvas, E

Reference 15

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Observation a778e740-4f8a-4017-8db7-0958d55443c4 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 16

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Observation 5ede658b-d087-4a51-a4a2-26a62d3e1f5e · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 17

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Observation 972c8c5d-09e5-425c-b88f-9f90d78705c6 · outbound

This paper cites a hler cone of a compact K \.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases a hler cone of a compact K \

Reference 18

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Observation e031b99b-48b2-4b14-82b6-93ec7fb705e4 · outbound

This paper cites Dinew, Uniqueness in E(X, ) , J.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Dinew, Uniqueness in E(X, ) , J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation ade5f076-71ae-454d-86ce-ab9d97a5d46a · outbound

This paper cites Dinew, H.-S.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Dinew, H.-S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation be4d0f82-ccba-4a4c-976a-6fba083d18af · outbound

This paper cites Dinew and S.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Dinew and S

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation e547ef72-9774-428e-8326-ee4cdd3e41f0 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 18db5f3b-3a40-448e-99e3-e4c2e624643e · outbound

This paper cites Eyssidieux, V.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Eyssidieux, V

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation b6a463a4-0b39-41f6-96e6-a7f87452446e · outbound

This paper cites Fang and M.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Fang and M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 1f8bc4ef-bab1-4bca-ad66-2b6825f3f8e7 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation ff0c1061-daa0-4617-87e1-878d83fb7803 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation a61919a5-5d72-4e2d-8743-b69e4995c58c · outbound

This paper cites Fang and B.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Fang and B

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 4f9bc6e5-9b53-49c8-aa37-9a5fe310be94 · outbound

This paper cites Fu, S.-T.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Fu, S.-T

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 9a1a34f4-9fdc-4b87-a797-27ea04b57096 · outbound

This paper cites The Critical LYZ Equation in K\"ahler Geometry.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases The Critical LYZ Equation in K\"ahler Geometry

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-06-29T15:03:32.032231Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 49067114-0feb-48f6-b57d-48b211b6d3a6 · outbound

This paper cites Guedj and A.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Guedj and A

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation e69dfa96-01d5-435b-9323-839e292d38fe · outbound

This paper cites Sup-slopes and sub-solutions for fully nonlinear elliptic equations.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Sup-slopes and sub-solutions for fully nonlinear elliptic equations

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:32.026672Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c56115e2-303c-46c8-aa5b-fc0b7c2c864b · outbound

This paper cites Hashimoto, Existence of twisted constant scalar curvature K \"a hler metrics with a large twist, Math.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Hashimoto, Existence of twisted constant scalar curvature K \"a hler metrics with a large twist, Math

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation aab7333a-e75c-4619-bd03-fcd5ae5e407d · outbound

This paper cites Ishii, On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs, Comm.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Ishii, On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs, Comm

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 4cf96a8b-a3a3-4efa-a341-132d2ac9f337 · outbound

This paper cites Kołodziej and N.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Kołodziej and N

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 1973cd90-729e-4ccf-9394-92f5c81c8d59 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation f684b32e-8c8e-4179-abb9-bfa0d2c9f7ef · outbound

This paper cites Lin, The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability, Adv.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Lin, The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability, Adv

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 865c2820-b1db-444c-b971-aeebf5848410 · outbound

This paper cites On the Solvability of General Inverse $\sigma_k$ Equations.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases On the Solvability of General Inverse $\sigma_k$ Equations

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:32.023384Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8e3318b9-cc6c-41cd-836a-4df31ede0f61 · outbound

This paper cites Murakami, Weak limits of the J-flow and the deformed Hermitian-Yang-Mills flow on Kähler surfaces: boundary cases, Ann.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Murakami, Weak limits of the J-flow and the deformed Hermitian-Yang-Mills flow on Kähler surfaces: boundary cases, Ann

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 422714ee-a1c7-4364-b310-1294bd93e2ce · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:32.026400Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7a52fa46-5042-42c2-8d3f-cb160867c406 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 75a25763-b9c4-40b2-a1b5-4aa8d6ef28cc · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 758f3c46-5076-46dd-8c65-54d8b500cb0f · outbound

This paper cites Nakai-Moishezon criterions for complex Hessian equations.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Nakai-Moishezon criterions for complex Hessian equations

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:32.016929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7fd6c115-49d8-4a06-8a0b-c640e5f19ac6 · outbound

This paper cites Song and B.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Song and B

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Unavailable: canonical work link unavailable.

Observation 6f34f112-4ce8-47f3-a16d-d2b3116606b4 · outbound

This paper cites Spruck, Geometric aspects of the theory of fully nonlinear elliptic equations.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Spruck, Geometric aspects of the theory of fully nonlinear elliptic equations

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Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Observation 641d2ced-8d1f-46ed-9361-9f5fcd087c10 · outbound

This paper cites Parabolic Flow for Generalized complex Monge-Amp\`ere type equations.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Parabolic Flow for Generalized complex Monge-Amp\`ere type equations

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-06-29T15:03:32.029419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0ebdd77c-c96a-4d96-96f5-a31b8c7d9620 · outbound

This paper cites Sun, On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: L^ estimate, Comm.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Sun, On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: L^ estimate, Comm

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Unavailable: canonical work link unavailable.

Observation eec009c6-aa1a-4de4-9b6d-0040dfccc8e9 · outbound

This paper cites The boundary case for complex Monge-Amp\`ere type equations.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases The boundary case for complex Monge-Amp\`ere type equations

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:32.029704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dcd101ca-9adf-44f0-b071-a74fee82d103 · outbound

This paper cites The boundary case of the $J$-flow.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases The boundary case of the $J$-flow

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:32.007070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7ec42d15-eafe-4e8b-a668-041d0c07d95a · outbound

This paper cites Sz \'e kelyhidi, Fully non-linear elliptic equations on compact Hermitian manifolds, J.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Sz \'e kelyhidi, Fully non-linear elliptic equations on compact Hermitian manifolds, J

Reference 49

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Unavailable: canonical work link unavailable.

Observation 3186522e-bef6-4bc8-9b91-d32fc9d418f2 · outbound

This paper cites an unresolved cited work.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Unavailable: canonical work link unavailable.

Observation f8e4ae54-dcb1-4e85-987a-b6f39d96dab4 · outbound

This paper cites Yau, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation.

Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases Yau, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation

Reference 51

Resolution: unresolved; no resolver link, observed 2026-06-29T06:03:09.033304Z

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Pith citing papers

Observation 252a18f9-fc53-44f7-bb9a-96e8c365d7b8 · inbound

On the Datar-Mete-Song minimal slope conjecture cites this paper.

On the Datar-Mete-Song minimal slope conjecture Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T04:23:40.619714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.