Paper Citation Record · LEDGER

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds

As of 15 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2501.01017.

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

pith.paper-citation-record.v1
2501.01017 v2

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:45:32.469866Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact5
verified fuzzy30
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0c1b634a-0641-4745-aba6-36b865320f84 · outbound

This paper cites Alesker, M.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Alesker, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.147719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2e53d983-4376-4882-be93-bbd303dffd98 · outbound

This paper cites Ball, Differentiability properties of symmetric and isotropic functions, Duke Math.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Ball, Differentiability properties of symmetric and isotropic functions, Duke Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.134398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5f7dd93a-c3a0-4630-84e6-4d300ff08928 · outbound

This paper cites Blocki, Weak solutions to the complex Hessian equation, Ann.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Blocki, Weak solutions to the complex Hessian equation, Ann

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.120897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8374f358-500e-4b63-ac6e-9c40c762ba1a · outbound

This paper cites Caffarelli, L.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Caffarelli, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.106112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 68a3054c-5674-4b66-a537-62b0f068a95b · outbound

This paper cites Cherrier, ´Equations de Monge-Amp` ere sur les vari´ et´ es Hermitiennes compactes, Bull.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Cherrier, ´Equations de Monge-Amp` ere sur les vari´ et´ es Hermitiennes compactes, Bull

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.092550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e6f6903a-33fe-4530-9aab-a6b6e3965df3 · outbound

This paper cites Chu, A simple proof of curvature estimates for convex solution of k-Hessian equation, Proc.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Chu, A simple proof of curvature estimates for convex solution of k-Hessian equation, Proc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.079360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0c13d70e-3d02-4fa8-a4e4-7f5d5aacac18 · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:33.065942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation baa05965-c164-4501-89a8-fdcc1f1d7557 · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:33.051928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dbd9ec28-1554-4034-b969-e7a770aeeda3 · outbound

This paper cites Dinew, S.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Dinew, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.036626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fdda3447-be8d-4791-bef9-31116a71be72 · outbound

This paper cites Dong, Second order estimates for complex Hessian equations with gradient terms on both sides, J.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Dong, Second order estimates for complex Hessian equations with gradient terms on both sides, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.023122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 52922d0f-7182-4261-984a-78d3b25c26e3 · outbound

This paper cites Dong, Second order estimates for a class of complex Hessian equations on Hermitian mani- folds, J.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Dong, Second order estimates for a class of complex Hessian equations on Hermitian mani- folds, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:33.009879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bcf1cf34-23e7-410b-ab03-44b3522a84c6 · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:32.992238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 51324828-3259-41f3-8875-e61fa2028c14 · outbound

This paper cites The Dirichlet Problem of Fully Nonlinear Equations on Hermitian Manifolds.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds The Dirichlet Problem of Fully Nonlinear Equations on Hermitian Manifolds

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:45:32.604166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7e03e8cc-8ab3-4537-8bd2-415429709f07 · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:32.978331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ba2eb78a-cdd7-4654-b749-11097cd2680b · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:32.964048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5d3316d6-494b-47bb-b606-7956790fdc5c · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:32.950156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1cc3a8a5-4b99-433e-ad5f-949f49f28416 · outbound

This paper cites Gerhardt, Curvature problems, Series in Geometry and Topology, vol., International Press of Boston Inc., Sommerville, 39(2006).

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Gerhardt, Curvature problems, Series in Geometry and Topology, vol., International Press of Boston Inc., Sommerville, 39(2006)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.935212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0d38adf8-f1dd-4829-b352-119a3eb23b9e · outbound

This paper cites Complex Monge-Ampere equations on Hermitian manifolds.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Complex Monge-Ampere equations on Hermitian manifolds

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:45:32.585232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 659f8357-0388-45f7-a97e-a317c39521f9 · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:32.921609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 45c6d524-bc8a-4d2d-b5f7-b7941d01b5ff · outbound

This paper cites Hanani, ´Equations du type de Monge-Amp` ere sur les vari´ et´ es hermitiennes compactes, J.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Hanani, ´Equations du type de Monge-Amp` ere sur les vari´ et´ es hermitiennes compactes, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.907779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2a7ecf1e-c640-4175-9a9e-28224837c93f · outbound

This paper cites Hou, Complex Hessian equation on K¨ ahler manifold, Int.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Hou, Complex Hessian equation on K¨ ahler manifold, Int

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.892123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 57ba8cd9-a1ca-4063-b19a-34bd231c67cb · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:32.878129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1652922a-50fd-4b19-9167-97b8ab7112ea · outbound

This paper cites Huisken, C.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Huisken, C

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.864963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fbbda69f-2eaf-476a-9173-2f16435b7298 · outbound

This paper cites Kolodziej, N.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Kolodziej, N

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.851828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0fba25b2-72e9-461d-a771-0543cfed5f8d · outbound

This paper cites Li, On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian, Asian J.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Li, On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian, Asian J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.838078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 08ed7a7f-9455-4882-a366-2360303b1758 · outbound

This paper cites Lu, Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space, Calc.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Lu, Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space, Calc

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.824067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0f433ea7-4501-43a7-af22-6e6a49e4ad75 · outbound

This paper cites Lieberman, Second order parabolic differential equations, World Scientific, 1996.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Lieberman, Second order parabolic differential equations, World Scientific, 1996

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.809942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 64695cdf-3ae5-4710-8fbb-2a854d685fe7 · outbound

This paper cites Phong, S.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Phong, S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.795640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2d568322-292f-4cb2-b06f-1a0d5ad17197 · outbound

This paper cites Phong, S.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Phong, S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.782510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f759282e-9e0e-4265-b389-5ed484a8cef0 · outbound

This paper cites Phong, S.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Phong, S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.769249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6e543a4b-c4b2-4df1-a138-f75bb5c85df3 · outbound

This paper cites Phong, S.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Phong, S

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.756320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 86548846-91d6-4a6a-b969-623a0da9111f · outbound

This paper cites an unresolved cited work.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:45:32.743174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d5b80e0-c018-42ef-9fc1-95bcf6faa1dd · outbound

This paper cites Spruck, Geometric aspects of the theory of fully nonlinear elliptic equations, Clay Mathe- matics Proceedings, 2(2005), 283-309.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Spruck, Geometric aspects of the theory of fully nonlinear elliptic equations, Clay Mathe- matics Proceedings, 2(2005), 283-309

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.729760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 87723cf0-427f-48ba-a9f5-c14b7554e52d · outbound

This paper cites On uniform estimate of complex elliptic equations on closed Hermitian manifolds.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds On uniform estimate of complex elliptic equations on closed Hermitian manifolds

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:45:32.566260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a1f60211-1ad2-4279-9cf7-a3baa3a63e5c · outbound

This paper cites Sz´ ekelyhidi, Fully non-linear elliptic equations on compact Hermitian manifolds, J.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Sz´ ekelyhidi, Fully non-linear elliptic equations on compact Hermitian manifolds, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.715536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c9130233-cbba-4677-ad9a-dc73e23831e7 · outbound

This paper cites Sz´ ekelyhidi, V.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Sz´ ekelyhidi, V

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.702024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6f9f0786-e967-478f-82b0-2db836f42122 · outbound

This paper cites Tosatti, B.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Tosatti, B

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.688976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ff595f77-4487-4e92-b65a-2d57074c6afc · outbound

This paper cites The complex Monge-Amp\`ere equation with a gradient term.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds The complex Monge-Amp\`ere equation with a gradient term

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:45:32.546275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 793f6e6b-666b-4fd1-9662-c11eb0b3498e · outbound

This paper cites Tosatti, B.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Tosatti, B

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.674966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 15de7090-dfd4-456c-8082-717c60c3f99c · outbound

This paper cites Yuan, On a class of fully nonlinear elliptic equations containing gradient terms on compact Hermitian manifolds, Canad.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Yuan, On a class of fully nonlinear elliptic equations containing gradient terms on compact Hermitian manifolds, Canad

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.661311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 44654f2b-dc6c-40d5-9efb-c1e4bdf3d5fc · outbound

This paper cites Regularity of fully non-linear elliptic equations on Hermitian manifolds. II.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Regularity of fully non-linear elliptic equations on Hermitian manifolds. II

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-10T22:45:32.452139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4d6e103-5426-433c-acc9-89ac361f1c63 · outbound

This paper cites Zhang, Hessian equations on closed Hermitian manifolds, Pacific Journal of Mathematics, 291(2017), 485-510.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Zhang, Hessian equations on closed Hermitian manifolds, Pacific Journal of Mathematics, 291(2017), 485-510

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.647911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fd3986a2-929e-4894-9511-d35dbdc60939 · outbound

This paper cites $C^2$ estimates for $k$-Hessian equations and a rigidity theorem.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds $C^2$ estimates for $k$-Hessian equations and a rigidity theorem

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:45:32.510552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b0df9987-6cec-4da0-b700-e483f42f1fe4 · outbound

This paper cites Zhang, A priori estimates for complex Monge-Amp` ere equation on Hermitian manifolds, Int.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Zhang, A priori estimates for complex Monge-Amp` ere equation on Hermitian manifolds, Int

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.632861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1a71a9b-f701-42e1-8948-382e579ef61b · outbound

This paper cites Zhang, X.

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds Zhang, X

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:45:32.618634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.