List questions from complex-geometry

Published on 25 Mar 2026 - 17:45

77

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Proving that two definitions for the complex tangent space $T_x X$ of a complex manifold are isomorphic

Published on 29 Nov 2016 - 18:01

184

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About the holomorphic tangent bundle of $\mathbb{CP}^n$

Published on 01 Dec 2016 - 3:21

651

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Must a Hermitian/Kähler Manifold have a complex structure?

Published on 25 Mar 2026 - 12:53

282

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Fuchsian Generators vs Schottky Generators

Published on 28 Mar 2026 - 20:51

253

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Non-Injective Abel-Jacobi Map Implies Manifold Is Isomorphic to $\mathbb P^1$

Published on 25 Mar 2026 - 12:53

75

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Degree of a curve in terms of positive line bundle

Published on 04 Dec 2016 - 15:09

51

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Verifying that a proposed connection $1$-form is horizontal

Published on 06 Dec 2016 - 7:00

72

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order of $Z[i]/\langle 2+4i\rangle$

Published on 25 Mar 2026 - 22:03

1.1k

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Why is every holomorphic line bundle over $\mathbb{C}$ trivial?

Published on 25 Mar 2026 - 12:46

161

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Vanishing of $H^0(X,\mathcal{L})$ and $H^0(X,\mathcal{L}^{-1})$

Published on 25 Mar 2026 - 16:02

79

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Can one classify the conformal embeddings of the Riemann sphere into four dimensional Euclidean space?

Published on 28 Mar 2026 - 16:26

133

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Does the "Number Doughnut" make sense?

Published on 28 Mar 2026 - 21:50

1.1k

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Proof of the Wirtinger inequality

Published on 25 Mar 2026 - 14:23

41

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A question about full pure mapping

Published on 10 Dec 2016 - 9:32

List Question

Local form of complex structure via Bruhat-Whitney

Proving that two definitions for the complex tangent space $T_x X$ of a complex manifold are isomorphic

About the holomorphic tangent bundle of $\mathbb{CP}^n$

Must a Hermitian/Kähler Manifold have a complex structure?

Fuchsian Generators vs Schottky Generators

Non-Injective Abel-Jacobi Map Implies Manifold Is Isomorphic to $\mathbb P^1$

Degree of a curve in terms of positive line bundle

Verifying that a proposed connection $1$-form is horizontal

order of $Z[i]/\langle 2+4i\rangle$

Why is every holomorphic line bundle over $\mathbb{C}$ trivial?

Vanishing of $H^0(X,\mathcal{L})$ and $H^0(X,\mathcal{L}^{-1})$

Can one classify the conformal embeddings of the Riemann sphere into four dimensional Euclidean space?

Does the "Number Doughnut" make sense?

Proof of the Wirtinger inequality

A question about full pure mapping

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