Paper Citation Record · LEDGER

The Critical LYZ Equation in K\"ahler Geometry

As of 14 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 2 inbound Pith citation observations for arXiv:2511.21492.

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pith.paper-citation-record.v1
2511.21492 v4

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measured 44 of 44 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T20:10:22.190289Z

measured 46 of 46 standing notices

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Source: paper_references, paper_reference_links, observed 2026-08-01T08:55:16.255138Z

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Source: pith, observed 2026-06-29T15:03:32.030582Z

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44 of 44 outbound references displayed

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Outbound references

Observation 47f6b774-0d14-4b8a-a1d3-68bfbd542181 · outbound

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

The Critical LYZ Equation in K\"ahler Geometry Weak solutions to the complex Hessian equation.Ann

Reference 1

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Observation 7c0cc66c-dc95-499e-92f1-1dc00228c945 · outbound

This paper cites H.,ANDJACOB, A.

The Critical LYZ Equation in K\"ahler Geometry H.,ANDJACOB, A

Reference 2

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Observation ccc90c8f-8e26-4992-937d-d0115ff80ec1 · outbound

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

The Critical LYZ Equation in K\"ahler Geometry The J-equation and the supercritical deformed Hermitian-Yang-Mills equa- tion.Invent

Reference 3

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Observation dc4cee8c-ee48-4801-a9c3-ca6622b877b5 · outbound

This paper cites C.,ANDLEE, M.-C.

The Critical LYZ Equation in K\"ahler Geometry C.,ANDLEE, M.-C

Reference 4

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Observation 53b098be-985f-4b56-858c-0ec746ddb474 · outbound

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

The Critical LYZ Equation in K\"ahler Geometry Hypercritical deformed Hermitian-Yang-Mills equation revisited.J

Reference 5

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Observation fb30a46e-810b-4554-b17c-d17ba1aa8f6a · outbound

This paper cites A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation.J.

The Critical LYZ Equation in K\"ahler Geometry A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation.J

Reference 6

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Observation 674f91aa-dc05-4e85-82f9-61b25f0aaef3 · outbound

This paper cites C., JACOB, A.,ANDYAU, S.-T.(1,1)forms with specified Lagrangian phase: a priori estimates and algebraic obstructions.Camb.

The Critical LYZ Equation in K\"ahler Geometry C., JACOB, A.,ANDYAU, S.-T.(1,1)forms with specified Lagrangian phase: a priori estimates and algebraic obstructions.Camb

Reference 7

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Observation 4fa26489-c86c-4bf6-b14c-25e100fc27cb · outbound

This paper cites C., XIE, D.,ANDYAU, S.-T.

The Critical LYZ Equation in K\"ahler Geometry C., XIE, D.,ANDYAU, S.-T

Reference 8

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Observation e1b973d2-64b0-4b63-a723-fb5fd271cb32 · outbound

This paper cites C.,ANDYAU, S.-T.

The Critical LYZ Equation in K\"ahler Geometry C.,ANDYAU, S.-T

Reference 9

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Observation c45525dc-3f44-4084-86ef-e3313a937352 · outbound

This paper cites Liouville and Calabi-Yau type theorems for complex Hessian equations.Amer.

The Critical LYZ Equation in K\"ahler Geometry Liouville and Calabi-Yau type theorems for complex Hessian equations.Amer

Reference 10

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Observation 6885a9f0-279c-40ee-bda0-e94480408476 · outbound

This paper cites On a class of fully nonlinear flows in K ¨ahler geometry.J.

The Critical LYZ Equation in K\"ahler Geometry On a class of fully nonlinear flows in K ¨ahler geometry.J

Reference 11

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Observation 2fe19c8e-a7c5-4e2c-b058-4da7c5f1b59e · outbound

This paper cites A new flow solving the LYZ equation in K ¨ahler geometry.J.

The Critical LYZ Equation in K\"ahler Geometry A new flow solving the LYZ equation in K ¨ahler geometry.J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.052717Z

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Observation 30935731-be93-417f-9dad-6be6520e5f72 · outbound

This paper cites Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds.Duke Math.

The Critical LYZ Equation in K\"ahler Geometry Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds.Duke Math

Reference 13

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Observation 5089832c-72b4-49ed-a736-f0791a7f6384 · outbound

This paper cites A rigidity theorem for the deformed Hermitian-Yang-Mills equation.Calc.

The Critical LYZ Equation in K\"ahler Geometry A rigidity theorem for the deformed Hermitian-Yang-Mills equation.Calc

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.061068Z

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Observation 077c485f-3d83-4304-9125-e870c475534a · outbound

This paper cites Stability of line bundle mean curvature flow.Trans.

The Critical LYZ Equation in K\"ahler Geometry Stability of line bundle mean curvature flow.Trans

Reference 15

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Observation c1e3070d-0ccd-4b02-8f79-fe5789d8fdf4 · outbound

This paper cites Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional K ¨ahler manifolds.Manuscripta Math.

The Critical LYZ Equation in K\"ahler Geometry Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional K ¨ahler manifolds.Manuscripta Math

Reference 16

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Observation ba5a538e-cd72-40ed-a5f2-1fcee13a5d95 · outbound

This paper cites Doubly stochastic matrices and the diagonal of a rotation matrix.Amer.

The Critical LYZ Equation in K\"ahler Geometry Doubly stochastic matrices and the diagonal of a rotation matrix.Amer

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.073843Z

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Observation 917d072e-ebb1-4ad8-9878-1eed2b3a4204 · outbound

This paper cites A second order estimate for complex Hessian equations on a compact K¨ahler manifold.Math.

The Critical LYZ Equation in K\"ahler Geometry A second order estimate for complex Hessian equations on a compact K¨ahler manifold.Math

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.082842Z

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Observation 9b193a8d-d3aa-42b7-979f-670dad1b3b30 · outbound

This paper cites The deformed Hermitian-Yang-Mills equa- tion on almost Hermitian manifolds.Sci.

The Critical LYZ Equation in K\"ahler Geometry The deformed Hermitian-Yang-Mills equa- tion on almost Hermitian manifolds.Sci

Reference 19

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Observation 6d16f770-6715-48bf-9568-60cf204cf396 · outbound

This paper cites Weak geodesics for the deformed Hermitian-Yang-Mills equation.Pure Appl.

The Critical LYZ Equation in K\"ahler Geometry Weak geodesics for the deformed Hermitian-Yang-Mills equation.Pure Appl

Reference 20

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Observation 27ec5684-efb9-442d-92c3-6c824284c647 · outbound

This paper cites The Deformed Hermitian-Yang-Mills Equation and Level Sets of Harmonic Polynomials.

The Critical LYZ Equation in K\"ahler Geometry The Deformed Hermitian-Yang-Mills Equation and Level Sets of Harmonic Polynomials

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.096161Z

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Observation 7cebab79-8a89-4fac-b154-43dbc11f1246 · outbound

This paper cites The deformed Hermitian-Yang-Mills equation on the blowup ofP n.Asian J.

The Critical LYZ Equation in K\"ahler Geometry The deformed Hermitian-Yang-Mills equation on the blowup ofP n.Asian J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.101098Z

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Observation c8c4b3dc-3b1d-45ed-a37d-63244072b54e · outbound

This paper cites A special Lagrangian type equation for holomorphic line bundles.Math.

The Critical LYZ Equation in K\"ahler Geometry A special Lagrangian type equation for holomorphic line bundles.Math

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.105015Z

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Observation f73f2480-2de9-4718-a9e0-9dd6c793996b · outbound

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The Critical LYZ Equation in K\"ahler Geometry Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.109212Z

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Observation 468a32a6-8fa3-4f13-80ae-9b374d32af93 · outbound

This paper cites C., YAU, S.-T.,ANDZASLOW, E.

The Critical LYZ Equation in K\"ahler Geometry C., YAU, S.-T.,ANDZASLOW, E

Reference 25

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Observation e224bff3-c51b-47f1-a8a0-007b93180627 · outbound

This paper cites Thomas-Yau conjecture and holomorphic curves.

The Critical LYZ Equation in K\"ahler Geometry Thomas-Yau conjecture and holomorphic curves

Reference 26

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Observation 18691918-d3e8-42d2-bcf8-f430798d1e58 · outbound

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

The Critical LYZ Equation in K\"ahler Geometry On the Solvability of General Inverse $\sigma_k$ Equations

Reference 27

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Observation 424c0927-f615-4621-8548-f0008191fba7 · outbound

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

The Critical LYZ Equation in K\"ahler Geometry The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability.Adv

Reference 28

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Observation f53edf42-d1ca-4f3a-ac63-8649ad2e039b · outbound

This paper cites Deformed Hermitian-Yang-Mills equation on compact Hermitian mani- folds.Math.

The Critical LYZ Equation in K\"ahler Geometry Deformed Hermitian-Yang-Mills equation on compact Hermitian mani- folds.Math

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.130393Z

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Observation 85893741-3c0c-4c33-adf9-5e1fc98b84af · outbound

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The Critical LYZ Equation in K\"ahler Geometry Unresolved cited work

Reference 30

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Observation ceba88e0-9fc1-4506-8338-a364f2c8403b · outbound

This paper cites Nonlinear in- stantons from supersymmetricp-branes.J.

The Critical LYZ Equation in K\"ahler Geometry Nonlinear in- stantons from supersymmetricp-branes.J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.139423Z

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Observation c5c10f68-d382-44a9-b0bf-ad7ce3333312 · outbound

This paper cites NonC 1 solutions to the special Lagrangian equation.

The Critical LYZ Equation in K\"ahler Geometry NonC 1 solutions to the special Lagrangian equation

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.143320Z

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Observation fa9cc63a-306f-429a-a933-03850906686f · outbound

This paper cites Singular solution to special Lagrangian equa- tions.Ann.

The Critical LYZ Equation in K\"ahler Geometry Singular solution to special Lagrangian equa- tions.Ann

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Observation 5264b383-4b3e-4f10-babb-dcc3c19ca3e5 · outbound

This paper cites an unresolved cited work.

The Critical LYZ Equation in K\"ahler Geometry Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.151278Z

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Observation b03a8598-6791-4e46-89fa-5b84fd881f81 · outbound

This paper cites On the convergence and singularities of theJ-flow with applications to the Mabuchi energy.Comm.

The Critical LYZ Equation in K\"ahler Geometry On the convergence and singularities of theJ-flow with applications to the Mabuchi energy.Comm

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.154949Z

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Observation 0fefba03-076f-4cd5-aa0a-d26739d3b726 · outbound

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

The Critical LYZ Equation in K\"ahler Geometry On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II:L ∞ estimate.Comm

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Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.158845Z

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Observation a33b7e9b-bff1-4ca8-823c-e1f295022485 · outbound

This paper cites The boundary case for the supercritical deformed Hermitian-Yang-Mills equation.J.

The Critical LYZ Equation in K\"ahler Geometry The boundary case for the supercritical deformed Hermitian-Yang-Mills equation.J

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Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.163082Z

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Observation 1cb8daa3-9e8c-4951-ba67-99541137c4e7 · outbound

This paper cites Fully non-linear elliptic equations on compact Hermitian manifolds.

The Critical LYZ Equation in K\"ahler Geometry Fully non-linear elliptic equations on compact Hermitian manifolds

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.167199Z

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Observation 75616781-9e2e-453e-8312-c779c9bacca8 · outbound

This paper cites Tan-concavity property for Lagrangian phase operators and applica- tions to the tangent Lagrangian phase flow.Internat.

The Critical LYZ Equation in K\"ahler Geometry Tan-concavity property for Lagrangian phase operators and applica- tions to the tangent Lagrangian phase flow.Internat

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.170972Z

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Observation cfabcff8-c904-48fd-9705-e3dddc6bb00b · outbound

This paper cites Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems.Amer.

The Critical LYZ Equation in K\"ahler Geometry Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems.Amer

Reference 40

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Observation 2e305d54-7248-4ffd-a35f-12d4bc25c90b · outbound

This paper cites Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions.Amer.

The Critical LYZ Equation in K\"ahler Geometry Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions.Amer

Reference 41

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Observation ce66b1f1-c6bf-4846-a3ec-765371c13415 · outbound

This paper cites Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase.Amer.

The Critical LYZ Equation in K\"ahler Geometry Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase.Amer

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.182508Z

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Observation 7d2fb9d9-5894-46c7-9d6a-12f7d5663c79 · outbound

This paper cites Global solutions to special Lagrangian equations.Proc.

The Critical LYZ Equation in K\"ahler Geometry Global solutions to special Lagrangian equations.Proc

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.186413Z

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Observation 7619357e-b6f6-4f88-a4bc-7392110ec362 · outbound

This paper cites Hessian equations on closed Hermitian manifolds.Pacific J.

The Critical LYZ Equation in K\"ahler Geometry Hessian equations on closed Hermitian manifolds.Pacific J

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Resolution: unresolved; no resolver link, observed 2026-08-03T20:10:22.190289Z

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Pith citing papers

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

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

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 2026-08-14T06:32:32.682623+00:00.

Observation 86a4ef96-8da4-46cc-a4a7-f6bedfe1bdd4 · inbound

Liouville Rigidity for Real and Complex Degenerate Hessian Equations cites this paper.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Critical LYZ Equation in K\"ahler Geometry

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T08:55:16.255138Z

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