Paper Citation Record · LEDGER

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms

As of 11 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.23094.

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2607.23094 v1

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measured 41 of 41 reference resolution

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Outbound references

Observation 52bf8710-fe02-4283-8128-a1a4c860125e · outbound

This paper cites B a nic a and O.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms B a nic a and O

Reference 1

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Observation 6c1e5ed8-84ac-4e98-b0cc-addf6f34b44e · outbound

This paper cites an unresolved cited work.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 2

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Observation b484f2e5-b517-48dd-bad2-7d21972d707f · outbound

This paper cites an unresolved cited work.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 3

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Observation a4f19b55-eb8d-40e1-bb26-053ba4805b53 · outbound

This paper cites Demailly, On the Ohsawa--Takegoshi--Manivel L^2 extension theorem, in Complex Analysis and Geometry, Progress in Mathematics, vol.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Demailly, On the Ohsawa--Takegoshi--Manivel L^2 extension theorem, in Complex Analysis and Geometry, Progress in Mathematics, vol

Reference 4

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Observation cc5d195b-2054-4960-b283-72e8386de0af · outbound

This paper cites Demailly, Complex Analytic and Differential Geometry, online book, Version of Thursday June 21, 2012.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Demailly, Complex Analytic and Differential Geometry, online book, Version of Thursday June 21, 2012

Reference 5

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Observation 68598513-8c22-435b-bbaa-1689f66cc6d5 · outbound

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Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 6

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Observation 912c35c3-bb81-46cd-92f9-8758d09c1fcb · outbound

This paper cites an unresolved cited work.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 7

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Observation 8e38e34d-c840-45df-b2a6-e06e7e3b7633 · outbound

This paper cites Grauert and R.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Grauert and R

Reference 8

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Observation 4629d374-93ee-4c5e-ae04-ed77eb5dcb91 · outbound

This paper cites Guan and X.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Guan and X

Reference 9

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Observation 37e2e67a-b335-48e6-b68b-0a226f16031f · outbound

This paper cites Guan and X.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Guan and X

Reference 10

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Observation 343cf832-e14a-410f-9e9e-cabb98a190e1 · outbound

This paper cites Guan and X.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Guan and X

Reference 11

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Observation f2682b8f-f33b-4cc2-90be-8420383d4f5b · outbound

This paper cites H\"ormander, L^2 estimates and existence theorems for the operator, Acta Mathematica 113 (1965), 89--152.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms H\"ormander, L^2 estimates and existence theorems for the operator, Acta Mathematica 113 (1965), 89--152

Reference 12

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Observation 6285e436-d70b-4ee9-94b4-67d18931fff4 · outbound

This paper cites Hosono and T.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Hosono and T

Reference 13

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Observation 6e1a7044-8aa4-48de-aa7d-f71b3cefb2e9 · outbound

This paper cites Inayama, From H\"ormander's L^2 -estimates to partial positivity, Comptes Rendus.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Inayama, From H\"ormander's L^2 -estimates to partial positivity, Comptes Rendus

Reference 14

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Observation 6a63bbd7-ea97-4449-bf4a-25051910f5ac · outbound

This paper cites Li, L^p -estimates and existence theorems for the -operator on complete K\"ahler manifolds.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Li, L^p -estimates and existence theorems for the -operator on complete K\"ahler manifolds

Reference 15

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Observation e9b5d8df-c6d8-411f-9890-7079a9951e6b · outbound

This paper cites Manivel, Un th\'eor\`eme de prolongement L^2 de sections holomorphes d'un fibr\'e hermitien, Mathematische Zeitschrift 212 (1993), no.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Manivel, Un th\'eor\`eme de prolongement L^2 de sections holomorphes d'un fibr\'e hermitien, Mathematische Zeitschrift 212 (1993), no

Reference 16

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Observation 67d2e179-ed95-4d29-ab72-2dd6effdbbc6 · outbound

This paper cites Ohsawa and K.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Ohsawa and K

Reference 17

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Observation b151aede-a1e9-4d11-83e6-e63cb1d40ab3 · outbound

This paper cites Siu, The complex-analyticity of harmonic maps and the strong rigidity of compact K\"ahler manifolds, Annals of Mathematics 112 (1980), no.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Siu, The complex-analyticity of harmonic maps and the strong rigidity of compact K\"ahler manifolds, Annals of Mathematics 112 (1980), no

Reference 18

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Observation 7fb1b0a0-58d4-4eee-aca4-4d6b34bb1ada · outbound

This paper cites Siu, Invariance of plurigenera, Invent.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Siu, Invariance of plurigenera, Invent

Reference 19

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Observation 22d53921-ceba-43fe-a928-94fd28c5d3e3 · outbound

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Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 20

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Observation 634572cb-b12a-4738-8b62-a4bbdd4ff6b7 · outbound

This paper cites Siu, Lecture Notes in Complex Analytic Geometry, unpublished lecture notes, private collection.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Siu, Lecture Notes in Complex Analytic Geometry, unpublished lecture notes, private collection

Reference 21

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Observation c399ab96-171a-43a6-815f-77d5c1eeaa97 · outbound

This paper cites Takegoshi, Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper K\"ahler morphisms, Mathematische Annalen 303 (1995), no.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Takegoshi, Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper K\"ahler morphisms, Mathematische Annalen 303 (1995), no

Reference 22

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Observation 377b1b85-6fb7-4575-a9e2-1ff0449faea5 · outbound

This paper cites Watanabe, Curvature operator of holomorphic vector bundles and $L^2$-estimate condition for $(n,q)$ and $(p,n)$-forms, Tohoku Math.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Watanabe, Curvature operator of holomorphic vector bundles and $L^2$-estimate condition for $(n,q)$ and $(p,n)$-forms, Tohoku Math

Reference 23

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Observation b48c5b9d-6397-4186-b0cd-d11721ab1798 · outbound

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Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 24

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Observation 7ceadf66-2eb7-4feb-bf23-4fc98a84661d · outbound

This paper cites Zhou and L.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Zhou and L

Reference 25

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Observation a73ea1ab-e50c-414e-a44d-ac7f2e1fe294 · outbound

This paper cites Zhou and L.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Zhou and L

Reference 26

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Observation db110ef5-4199-4d46-b046-cc08779bebde · outbound

This paper cites Zhou and L.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Zhou and L

Reference 27

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Observation b72d0cc2-cb0b-4201-a80b-c0232e9270e1 · outbound

This paper cites A simple proof of the Ohsawa-Takegoshi extension theorem.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms A simple proof of the Ohsawa-Takegoshi extension theorem

Reference 28

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Observation 0a468c3b-01e8-48b2-9fdc-76cf454e2f2c · outbound

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Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 29

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Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 30

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Observation c6831567-7556-4446-80f5-a89249017a4c · outbound

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

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds

Reference 31

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Observation 39cd8f0d-28d0-432f-8853-0c6e5bd49566 · outbound

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

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Some Sobolev-type inequalities for twisted differential forms on real and complex manifolds

Reference 32

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Observation 32698194-2f5b-4c49-be76-dade95da3003 · outbound

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Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 33

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Observation 5e295bb9-73d7-455a-b36c-603967c08719 · outbound

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Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 34

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Observation d0d8b5fe-9f56-4dd4-bbe0-d6b0fe5c1711 · outbound

This paper cites Li, Riesz transforms on forms and L^p -Hodge decomposition on complete K\"ahler manifolds.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Li, Riesz transforms on forms and L^p -Hodge decomposition on complete K\"ahler manifolds

Reference 35

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Observation 663631e6-e3ac-48d9-b042-671a9ada8b80 · outbound

This paper cites From H\"ormander's $L^2$-estimates to partial positivity.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms From H\"ormander's $L^2$-estimates to partial positivity

Reference 36

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Observation 30c0cc8f-adb7-40ea-a65d-af57b37c07f6 · outbound

This paper cites Mourougane and S, Takayama, Hodge metrics and the curvature of higher direct images, Ann.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Mourougane and S, Takayama, Hodge metrics and the curvature of higher direct images, Ann

Reference 37

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Observation 44f759cf-0e23-49bd-af6f-25f6932f5460 · outbound

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Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Unresolved cited work

Reference 38

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Observation 59770e15-ef53-408b-8cad-861b5f01cc7e · outbound

This paper cites Si, The complex-analyticity of harmonic maps and the strong rigidity of compact K\"ahler manifolds, Ann.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Si, The complex-analyticity of harmonic maps and the strong rigidity of compact K\"ahler manifolds, Ann

Reference 39

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Observation 20fbdc4b-c365-4df9-aab0-5a90338b3ced · outbound

This paper cites Yang, RC-positivity, rational connectedness and Yau's conjecture, Cambridge Journal of Mathematics.

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Yang, RC-positivity, rational connectedness and Yau's conjecture, Cambridge Journal of Mathematics

Reference 40

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Observation b40eaa11-b38c-4dd7-8c46-b47796004840 · outbound

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

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms Li, On the strong L^p -Hodge decomposition over complete Riemannian manifolds, J

Reference 41

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