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Paper Citation Record · LEDGER

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds

As of 13 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2507.09486.

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pith.paper-citation-record.v1
2507.09486 v1

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measured 50 of 50 reference resolution

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

50 of 50 outbound references displayed

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External citation measurements

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Outbound references

Observation 85e4227c-a0eb-448e-ad93-bab77ea70fdb · outbound

This paper cites Aubin, Nonlinear analysis on manifolds, Monge-Amp\'ere equations, Grundlehren Math.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Aubin, Nonlinear analysis on manifolds, Monge-Amp\'ere equations, Grundlehren Math

Reference 1

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Observation ba01f6db-4273-4b83-b0b3-7fa661c8f165 · outbound

This paper cites Berndtsson, An eigenvalue estimate for the -Laplacian, J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Berndtsson, An eigenvalue estimate for the -Laplacian, J

Reference 2

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This paper cites Baumgarth, B.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Baumgarth, B

Reference 3

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This paper cites Chen, and L.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Chen, and L

Reference 4

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 5

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 6

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Observation 0e501a7b-6432-4d16-8af5-d33f3596ba01 · outbound

This paper cites Cianchi and V.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Cianchi and V

Reference 7

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Observation 91f2289b-d0f3-4dc9-9b3e-c5e850077795 · outbound

This paper cites Davies, Heat kernels and spectral theory, Cambridge Tracts in Mathematics, 92.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Davies, Heat kernels and spectral theory, Cambridge Tracts in Mathematics, 92

Reference 8

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 9

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Observation b9242e8e-97fe-42c4-bd49-859285711a83 · outbound

This paper cites Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds

Reference 10

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Observation 9cebdc90-0ddb-489a-a175-2c86210d79c1 · outbound

This paper cites Some Sobolev-type inequalities for twisted differential forms on real and complex manifolds.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Some Sobolev-type inequalities for twisted differential forms on real and complex manifolds

Reference 11

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 12

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This paper cites Donnelly and P.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Donnelly and P

Reference 13

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

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Observation 2cfdbe1c-da17-40cb-b9d1-a2f48f2fc995 · outbound

This paper cites Egidi, K.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Egidi, K

Reference 15

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Observation 8706f344-536e-429a-b327-86435cb13bf3 · outbound

This paper cites Fabes, N.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Fabes, N

Reference 16

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Observation 479cf778-c791-42fd-9176-5bb8b8cb32ec · outbound

This paper cites Gallot and D.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Gallot and D

Reference 17

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This paper cites Guo, D.H.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Guo, D.H

Reference 18

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Observation bf76cd08-f91a-4b75-8c7d-cb1cccecd3b0 · outbound

This paper cites Diameter estimates in K\"ahler geometry.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Diameter estimates in K\"ahler geometry

Reference 19

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Observation 5a1b7235-84ba-42a4-af49-4289f5493de3 · outbound

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

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Sobolev inequalities on K\"ahler spaces

Reference 20

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:08:49.967686Z digest=sha256:0a939ca003a3c87cd5678a836e87c6d60c8402f0dcd55d7c1ffbb22b359ab391

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This paper cites Guo, D.H.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Guo, D.H

Reference 21

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This paper cites Guo, Bin, D.H.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Guo, Bin, D.H

Reference 22

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source=arxiv_source observed=2026-08-06T18:08:50.129765Z digest=sha256:f7d20dc6d9dfb4f4cc44e1393ba99a18a6ec49187f0cf9fee10ff8e1e7083354

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This paper cites Gilbarg and N.S.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Gilbarg and N.S

Reference 23

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This paper cites Gol'dshtein and M.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Gol'dshtein and M

Reference 24

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

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds K\"ahler families of Green's functions

Reference 25

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local_arxiv, observed 2026-08-06T18:08:53.316527Z

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Observation 16ad5ae0-a442-4b55-af72-dd7dd2b880e6 · outbound

This paper cites Gr\"uter and K.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Gr\"uter and K

Reference 26

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This paper cites Hao, Lecture notes on harmonic analysis, Available online at http://www.math.ac.cn/kyry/hcc/teach/201912/P020200428625504254918.pdf.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Hao, Lecture notes on harmonic analysis, Available online at http://www.math.ac.cn/kyry/hcc/teach/201912/P020200428625504254918.pdf

Reference 27

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Observation 24b5db08-b391-4c98-a36b-66ef70fafa6d · outbound

This paper cites H\"ormander, L^p -estimates for (pluri-) subharmonic functions, Math.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds H\"ormander, L^p -estimates for (pluri-) subharmonic functions, Math

Reference 28

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Observation 21e83a51-82ef-48bd-a791-6a63e9512340 · outbound

This paper cites Hebey, Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities, Courant Lect.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Hebey, Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities, Courant Lect

Reference 29

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This paper cites an unresolved cited work.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 30

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source=arxiv_source observed=2026-08-06T18:08:50.827563Z digest=sha256:f327adac0b4da58aa6c6c4c188d7724fc37f0c1c826c9921803f7ea6e7a04608

Observation 50868b9c-ec0f-45ea-8d2b-14e5e3d07d74 · outbound

This paper cites Laurent, Uniformly elliptic operators on Riemannian manifolds, J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Laurent, Uniformly elliptic operators on Riemannian manifolds, J

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:50.920798Z digest=sha256:823e0d5a4cc8cee9196aa7a052045ba651880b98ad1e441562990f6c818bb940

Observation 2f857680-9077-43e4-bf62-9412dece5b1d · outbound

This paper cites Krantz, calculation and estimation of the Poisson kernel,J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Krantz, calculation and estimation of the Poisson kernel,J

Reference 32

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source=arxiv_source observed=2026-08-06T18:08:51.021977Z digest=sha256:5ad0c4558a90c40e9cbe2129a04bd7397cb516e16e7d0f09089882f57391fd74

Observation f6b26445-6d65-4ba6-8aa9-7cd3b9d9368a · outbound

This paper cites Li, On the strong L^p -Hodge decomposition over complete Riemannian manifolds, J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Li, On the strong L^p -Hodge decomposition over complete Riemannian manifolds, J

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Observation 836748ad-3c00-4289-a9a9-f9561da11605 · outbound

This paper cites Li, Riesz transforms on forms and L^p -Hodge decomposition on complete Riemannian manifolds, Rev.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Li, Riesz transforms on forms and L^p -Hodge decomposition on complete Riemannian manifolds, Rev

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raw_fallback, observed 2026-08-06T18:08:57.268154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:51.304807Z digest=sha256:7688eee1f37e9b96001b8dfb2ca156b9614ad5aa0737cadab9b7e89c3d9d9b82

Observation 13d99272-b4c6-46d3-9ba3-565a746ddb33 · outbound

This paper cites Li, Geometric analysis, Cambridge Stud.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Li, Geometric analysis, Cambridge Stud

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:56.981866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:51.536417Z digest=sha256:748cb679c23f1e3d3ff660f1d1cbcbb49e0245422663984d42a6bec6518c4500

Observation d3afdf29-4a86-44af-a1f5-4418e6b98ffd · outbound

This paper cites Li, L^ p -estimates and existence theorems for the -operator on complete Riemannian manifolds , Adv.Math.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Li, L^ p -estimates and existence theorems for the -operator on complete Riemannian manifolds , Adv.Math

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:56.674752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:51.708456Z digest=sha256:541d0320b8fb81388f1dd5f7cca31ee1fe0a1a017c3ac3bf8b60ff09a41c2777

Observation a619733c-01dc-444f-afb2-1f348450cb7a · outbound

This paper cites an unresolved cited work.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:08:56.367038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:51.888421Z digest=sha256:ddce040c234c1199f7093c18febd6a810d436a4721920c3415f9e601356b9840

Observation fd33e2ee-67f6-47e1-b192-b53a461c46dd · outbound

This paper cites Maggi and C.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Maggi and C

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:56.075563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.037456Z digest=sha256:53dba5c097fba12072ad89fda70c73f6ee74d7d38b6e911963fd5379409142e7

Observation 2ec702d6-3a67-4ddd-aeb5-f6a0ad953cd6 · outbound

This paper cites Nicolaescu, Lectures on the geometry of manifolds, Third edition, World Scientific Publishing Co.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Nicolaescu, Lectures on the geometry of manifolds, Third edition, World Scientific Publishing Co

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:55.820516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.188263Z digest=sha256:a1154b66bfc28727a8338c6996807e541cc1a46c5be9017857d556d59f84bb75

Observation f7680080-5cd3-4d6e-b5f8-95f99a6e4938 · outbound

This paper cites Robert, Existence et asymptotiques optimales des fonctions de Green des opérateurs elliptiques d’ordre deux,.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Robert, Existence et asymptotiques optimales des fonctions de Green des opérateurs elliptiques d’ordre deux,

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:55.496618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.364414Z digest=sha256:1f03a94b5e2e581d0bb364c184633d113d18db9538a0919d2c3c9097c886b06e

Observation d3ffc428-4663-42a5-a707-7baec722472c · outbound

This paper cites Rosenberg and D.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Rosenberg and D

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:55.264026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.434750Z digest=sha256:31e7ad64733fa97f186004d92834825c5cd689191e02abe6c40cd54b29de4b00

Observation 3290a59d-e4b7-4ae2-be3f-7d4f49d984d0 · outbound

This paper cites Rumin, Spectral density and Sobolev inequalities for pure and mixed states, Geom.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Rumin, Spectral density and Sobolev inequalities for pure and mixed states, Geom

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:55.065959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.518824Z digest=sha256:5453407e47ee649329d917f9f83fd2269c0064b50edf04c47ed86e04952fbfed

Observation 00c51c86-ea1e-44d5-a262-179f6dc5aacd · outbound

This paper cites Schwarz, Hodge decomposition—a method for solving boundary value problems, Lecture Notes in Math., 1607, Springer-Verlag, Berlin, 1995.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Schwarz, Hodge decomposition—a method for solving boundary value problems, Lecture Notes in Math., 1607, Springer-Verlag, Berlin, 1995

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.927417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.566735Z digest=sha256:d1c8ccd181eaafcfe401f30bb95e463d835c3653b98302a97e089b449dc02fd2

Observation 992c2783-a6fe-49a0-9609-a2992d360556 · outbound

This paper cites Scott, L^p theory of differential forms on manifolds, Trans.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Scott, L^p theory of differential forms on manifolds, Trans

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.729538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.614319Z digest=sha256:95af7f8453bd899629eefc6e703cefc40b4f12c0626f8d0253eea30abd0bb069

Observation 523ea10b-a058-4aa8-b0fc-484bb50944a1 · outbound

This paper cites Aspects of Sobolev-Type Inequalities, Cambridge Univ.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Aspects of Sobolev-Type Inequalities, Cambridge Univ

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.610290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.675165Z digest=sha256:0c0f253d0fd4cdc890ab86f9368c09739f3ead88b6da5f2e5438279180b5f29b

Observation 8584661e-90c0-4b04-ba4b-f8c6c7e53b2e · outbound

This paper cites Schoen and S.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Schoen and S

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.486315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.709622Z digest=sha256:235056700980b12f61ecdafd81f61a935d4c94babedc19ef23572d351505d9a9

Observation 2a9498d4-1b50-44db-a133-0e30f99d7f44 · outbound

This paper cites Wang, The Calderón-Zygmund inequality on a compact Riemannian manifold, Pacific J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Wang, The Calderón-Zygmund inequality on a compact Riemannian manifold, Pacific J

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.400415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.845325Z digest=sha256:1003d7faaaaf96f5badeb377f2a94c013f65aaf6366cd63995593e116060e206

Observation d5e657f3-0588-4e5d-aebd-40e4bb08a0a8 · outbound

This paper cites Wang and L.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Wang and L

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.311671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.954399Z digest=sha256:91e8b2692ca5a3bf9e5a5b19ec5873b7d84ca413a7e806997dc0bfe662888067

Observation c243dadb-c920-41b5-8c07-e1a2492dacb4 · outbound

This paper cites Zhu, A generalization of the Kodaira vanishing theorem and the Kodaira embedding theorem, Thesis (Ph.D.)–Boston University ProQuest LLC, Ann Arbor, MI, 1994, 69 pp.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Zhu, A generalization of the Kodaira vanishing theorem and the Kodaira embedding theorem, Thesis (Ph.D.)–Boston University ProQuest LLC, Ann Arbor, MI, 1994, 69 pp

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.208334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:53.016134Z digest=sha256:15264773efd1e45fcde5c884841af8a8ad45ec9147654f5cc9ac1d8fc0b75d77

Observation f9ce0781-6d4a-4b46-aa0a-e6ee71e23ad1 · outbound

This paper cites Zhang, Sobolev inequalities, heat kernels under Ricci flow and the Poincar\'e conjecture, CRC Press, Boca Raton, FL, 2011.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Zhang, Sobolev inequalities, heat kernels under Ricci flow and the Poincar\'e conjecture, CRC Press, Boca Raton, FL, 2011

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.112632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T18:08:53.054972Z digest=sha256:2b6cdca6a1677598deaed586c9e59e885ed2e0deb79a44f937277bc9fd30fada

Pith citing papers

No inbound Pith citation observations are available.