Paper Citation Record · LEDGER

Second order estimates for complex Hessian equations on Hermitian manifolds

As of 22 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:1908.03599.

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

pith.paper-citation-record.v1
1908.03599 v2

Coverage vector

measured 49 of 49 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T14:19:14.308361Z

measured 50 of 50 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T06:18:33.017201Z

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Source: pith, observed 2026-08-14T06:18:34.085662Z

Reference resolution

49 of 49 outbound references displayed

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Outbound references

Observation 127b8865-7121-46dc-b410-42e184240510 · outbound

This paper cites Alekser and M.

Second order estimates for complex Hessian equations on Hermitian manifolds Alekser and M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:15.092806Z

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Observation dfe6195b-1f19-45bb-b4e1-f65cad716562 · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Ball, Diﬀerentiability properties of symmetric an d isotropic functions, Duke Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:15.077616Z

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Observation 13515c2b-51dd-414c-bdb8-91ade59e469a · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Blocki, Weak solutions to the complex Hessian equatio n, Ann

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:15.059977Z

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Observation f456596d-d557-488e-830f-680ed738d55d · outbound

This paper cites Caﬀarelli, L.

Second order estimates for complex Hessian equations on Hermitian manifolds Caﬀarelli, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:15.043240Z

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Observation ce03a656-9ee3-48ce-9d6f-2dcfdbcf9598 · outbound

This paper cites Cheng, and S.T.

Second order estimates for complex Hessian equations on Hermitian manifolds Cheng, and S.T

Reference 5

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Observation 840871bd-3cf1-49d6-8c40-a5d5b29574a8 · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Cherrier, ´Equations de Monge-Amp` ere sur les vari´ et´ es hermitiennes compactes, Bull

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:15.007573Z

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Observation 2410d28d-f7b3-4926-8778-888dcfbf5940 · outbound

This paper cites Chu, L.D.

Second order estimates for complex Hessian equations on Hermitian manifolds Chu, L.D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.988096Z

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Observation 6067a22d-275e-429f-8293-170b3c54c3c7 · outbound

This paper cites Chu, L.D.

Second order estimates for complex Hessian equations on Hermitian manifolds Chu, L.D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.973758Z

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Observation db04138f-2e4b-44eb-8685-ebb763369783 · outbound

This paper cites The $2$-nd Hessian type equation on almost Hermitian manifolds.

Second order estimates for complex Hessian equations on Hermitian manifolds The $2$-nd Hessian type equation on almost Hermitian manifolds

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:19:14.408261Z

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Observation f4024727-add9-42b8-a6c0-bddc14922e31 · outbound

This paper cites Chu, V.Tosatti and B.Weinkove, The Monge-Amp` ereequation for non-integrable almost complex structures, J.

Second order estimates for complex Hessian equations on Hermitian manifolds Chu, V.Tosatti and B.Weinkove, The Monge-Amp` ereequation for non-integrable almost complex structures, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.961223Z

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Observation 29280136-2bd5-4558-a265-f252c281b7a8 · outbound

This paper cites Dinew and S.

Second order estimates for complex Hessian equations on Hermitian manifolds Dinew and S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.948761Z

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Observation 03848232-605c-40d5-bcc7-f8b5f976742f · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds The Dirichlet Problem of Fully Nonlinear Equations on Hermitian Manifolds

Reference 12

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Observation cd175180-c2c5-416d-86f1-2ddfcb7392ed · outbound

This paper cites Fu and S.T.

Second order estimates for complex Hessian equations on Hermitian manifolds Fu and S.T

Reference 13

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Observation b8e5907c-5984-4257-bb46-b90150ad0325 · outbound

This paper cites Fu and S.T.

Second order estimates for complex Hessian equations on Hermitian manifolds Fu and S.T

Reference 14

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Observation 010e3de1-75df-43a2-a7b7-8c1f18fff0cd · outbound

This paper cites Goldstein and S.

Second order estimates for complex Hessian equations on Hermitian manifolds Goldstein and S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.907126Z

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Observation d440dcc4-39dc-4dfa-9cd3-ae06e5c6bd7e · outbound

This paper cites Guan and H.M.

Second order estimates for complex Hessian equations on Hermitian manifolds Guan and H.M

Reference 16

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Observation 49822ab2-3499-45c0-848f-0acaad48cf37 · outbound

This paper cites Guan and Q.

Second order estimates for complex Hessian equations on Hermitian manifolds Guan and Q

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.869787Z

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Observation a18321c0-5613-42ae-b3fa-f6e8dffc3438 · outbound

This paper cites Guan and X.

Second order estimates for complex Hessian equations on Hermitian manifolds Guan and X

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.847629Z

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Observation 1eaa56aa-7ed3-4974-aa2a-ffeabdb669be · outbound

This paper cites Guan, C.Y.

Second order estimates for complex Hessian equations on Hermitian manifolds Guan, C.Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.827278Z

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Observation 81e98723-99e5-432a-813f-615c17a7742f · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Hou, Complex Hessian equation on K¨ ahler manfold, Int

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.812257Z

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Observation b8a49215-95ee-40f8-9f91-eb0bfe115252 · outbound

This paper cites Hou, X.N.

Second order estimates for complex Hessian equations on Hermitian manifolds Hou, X.N

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.794482Z

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Observation 2e35b7fc-becf-41db-be4b-7c74fb1ed9dd · outbound

This paper cites Jbilou, ´Equations hessiennes complexes sur des vari´ et´ es k¨ ahl´ eriennes compactes, C.

Second order estimates for complex Hessian equations on Hermitian manifolds Jbilou, ´Equations hessiennes complexes sur des vari´ et´ es k¨ ahl´ eriennes compactes, C

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.781580Z

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Observation 6440ef9c-d929-44f1-9739-151b3efce2a1 · outbound

This paper cites Kobayashi, K¨ ahler-Einstein metric on an open algeb raic manifold, Osaka J.

Second order estimates for complex Hessian equations on Hermitian manifolds Kobayashi, K¨ ahler-Einstein metric on an open algeb raic manifold, Osaka J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.766386Z

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Observation aa42752c-0b05-4fd7-ad05-06ada209fb35 · outbound

This paper cites an unresolved cited work.

Second order estimates for complex Hessian equations on Hermitian manifolds Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:19:14.753453Z

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Observation ed3ba1e0-a7f5-4f9d-b746-9a8c58ac7cd3 · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Li, On the Dirichlet problems for symmetric functi on equations of the eigenvalues of the complex Hessian, Asian J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.739579Z

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Observation 5072ce31-cb6a-46e9-880f-4aebe0d86323 · outbound

This paper cites Phong, S.

Second order estimates for complex Hessian equations on Hermitian manifolds Phong, S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.723003Z

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Observation 7b161e2b-874d-4456-a8db-33a9d0621ab4 · outbound

This paper cites Phong, S.

Second order estimates for complex Hessian equations on Hermitian manifolds Phong, S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.707105Z

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Observation 4bcb6b34-9796-4d70-9c35-cf863165bd21 · outbound

This paper cites Phong, S.

Second order estimates for complex Hessian equations on Hermitian manifolds Phong, S

Reference 28

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Observation 97d7aad0-632e-4279-8fd4-37b8e9423a04 · outbound

This paper cites Fu-Yau Hessian Equations.

Second order estimates for complex Hessian equations on Hermitian manifolds Fu-Yau Hessian Equations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T14:19:14.209817Z

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Observation 21fde31d-f04d-442b-8d0b-95bb2541582f · outbound

This paper cites Phong, J.

Second order estimates for complex Hessian equations on Hermitian manifolds Phong, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.673067Z

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Observation 95309616-21a4-4077-ade3-dfb9940dccf5 · outbound

This paper cites Song and B.

Second order estimates for complex Hessian equations on Hermitian manifolds Song and B

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.657203Z

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Observation 185c1e58-ee6c-49ae-b3c9-1705602ca583 · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Sun, On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: L∞ estimate, Comm

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.641211Z

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Observation 66d80692-f4b3-4554-8c5e-10fd377fc7bc · outbound

This paper cites Sun, On uniform estimate of complex elliptic equatio ns on closed Hermitian manifolds, Commun.

Second order estimates for complex Hessian equations on Hermitian manifolds Sun, On uniform estimate of complex elliptic equatio ns on closed Hermitian manifolds, Commun

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.627037Z

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Observation d6044c88-19b3-4fde-b271-f5439ff16de1 · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Sz´ ekelyhidi, Fully non-linear elliptic equations on compact Hermitian manifolds, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.612920Z

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Observation 99edbe8d-a9f6-4f73-a259-13f586cadaa0 · outbound

This paper cites Sz´ ekelyhidi, V.

Second order estimates for complex Hessian equations on Hermitian manifolds Sz´ ekelyhidi, V

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.600029Z

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Observation ce7b058c-11db-4113-af99-73498ec14de6 · outbound

This paper cites Tian, On the existence of solutions of a class of Monge -Amp` ere equations, Acta Math.

Second order estimates for complex Hessian equations on Hermitian manifolds Tian, On the existence of solutions of a class of Monge -Amp` ere equations, Acta Math

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.586742Z

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Observation 141ff060-ad96-4dd6-a979-32c2c88378e7 · outbound

This paper cites Tian, A third derivative estimate for Monge-Amp` ere equations with conic singularities, Chin.

Second order estimates for complex Hessian equations on Hermitian manifolds Tian, A third derivative estimate for Monge-Amp` ere equations with conic singularities, Chin

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.572160Z

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Observation f2081e13-63b9-4a7d-9e81-fe0c025da1c9 · outbound

This paper cites Tian and S.T.

Second order estimates for complex Hessian equations on Hermitian manifolds Tian and S.T

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.552451Z

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Observation f5c519df-3bb1-4354-aa4f-9b062f854043 · outbound

This paper cites Tian and S.T.

Second order estimates for complex Hessian equations on Hermitian manifolds Tian and S.T

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.537291Z

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Observation 292ff20f-b50c-4528-aa79-b9a750fd6c16 · outbound

This paper cites Tosatti, Y.

Second order estimates for complex Hessian equations on Hermitian manifolds Tosatti, Y

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.523491Z

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Observation bc278a90-a5b9-48f4-8fe0-b0d0bf012588 · outbound

This paper cites Tosatti and B.

Second order estimates for complex Hessian equations on Hermitian manifolds Tosatti and B

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.509045Z

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Observation bdaf145a-c911-43d6-bbd6-976a5c954a32 · outbound

This paper cites Tosatti and B.

Second order estimates for complex Hessian equations on Hermitian manifolds Tosatti and B

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.496552Z

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Observation 7720c9d1-9ad9-4a7b-b271-1215c1c34e3e · outbound

This paper cites Hermitian metrics, (n-1, n-1) forms and Monge-Amp\`ere equations.

Second order estimates for complex Hessian equations on Hermitian manifolds Hermitian metrics, (n-1, n-1) forms and Monge-Amp\`ere equations

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-14T14:19:14.282170Z

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Observation c6a65b4f-2cb5-441c-9b3f-5f7fa2b8955a · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds The complex Monge-Amp\`ere equation with a gradient term

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-14T14:19:14.286618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd07d66b-9565-4088-8aea-d0ed3ee4a715 · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Yau, On the Ricci curvature of a compact K¨ ahler man ifold and the complex Monge- Amp` ere equation

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.481520Z

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Observation 729b22ab-a42e-4bf8-929a-345dd7161402 · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Yuan, On a class of fully nonlinear elliptic equati ons containing gradient terms on compact Hermitian manifolds, Canad

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.468262Z

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Observation 1b868ace-43f1-44d1-b05f-90865e541da3 · outbound

This paper cites Yuan, Regularity of fully nonlinear elliptic equa tions on Hermitian manifolds, II, preprint.

Second order estimates for complex Hessian equations on Hermitian manifolds Yuan, Regularity of fully nonlinear elliptic equa tions on Hermitian manifolds, II, preprint

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.453409Z

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Observation 133afede-b6ea-4af8-89e1-a9194201a58c · outbound

This paper cites Zhang, Hessian equations on closed Hermitian mani folds, Paciﬁc J.

Second order estimates for complex Hessian equations on Hermitian manifolds Zhang, Hessian equations on closed Hermitian mani folds, Paciﬁc J

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.436881Z

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Observation 4c906ecd-f307-485b-b903-fbfc845cfbf2 · outbound

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

Second order estimates for complex Hessian equations on Hermitian manifolds Zhang, A priori estimates for complex Monge-Amp` ere equation on Hermitian manifolds, Int

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:19:14.422956Z

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Pith citing papers

Observation 294c4175-df2e-4b82-8db8-487099a0be12 · inbound

The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold cites this paper.

The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold Second order estimates for complex Hessian equations on Hermitian manifolds

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:18:34.092452Z

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