List questions from complex-geometry

Published on 23 Oct 2014 - 15:46

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On the Chern connection

Published on 26 Mar 2026 - 17:46

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first chern class

Published on 30 Oct 2014 - 3:11

118

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Why is this map of sheaves surjective?

Published on 26 Mar 2026 - 16:05

74

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deformation space inside cohomology

Published on 25 Mar 2026 - 7:41

52

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Working in complex number field

Published on 08 Nov 2014 - 18:52

200

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Almost complex structure which fails to be compatible

Published on 25 Mar 2026 - 16:06

224

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Why is $H^1(X, \mathcal{O}) \neq 0$ for $X = (B(0, 1)\times B(0, 2)) \cup (B(0, 2)\times B(0, 1))$?

Published on 25 Mar 2026 - 22:27

472

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Unitary transformation of Fubini-Study metric

Published on 27 Mar 2026 - 7:18

313

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Simpleminded example: flasque sheaves

Published on 28 Mar 2026 - 22:24

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Holomorphic vector fields on complex projective spaces

Published on 14 Nov 2014 - 13:17

465

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Any real analytic Frobenius theorem used in the proof of integrable almost complex manifolds to arise from complex manifolds?

Published on 14 Nov 2014 - 15:16

36

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In the Riemann sphere 1 is not summe of holomorphics map vanishing on 0 and $\infty$

Published on 14 Nov 2014 - 16:13

638

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Hermitian manifold counterexample

Published on 16 Nov 2014 - 12:57

475

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The image of a map $H^2 \setminus \Delta \to \mathbf{R}^4$ where $H$ is the upper half-plane and $\Delta$ is the diagonal

Published on 16 Nov 2014 - 20:03

List Question

Real part of a complex number divided: $\Re\frac{z+1}{z-1}=0$

On the Chern connection

first chern class

Why is this map of sheaves surjective?

deformation space inside cohomology

Working in complex number field

Almost complex structure which fails to be compatible

Why is $H^1(X, \mathcal{O}) \neq 0$ for $X = (B(0, 1)\times B(0, 2)) \cup (B(0, 2)\times B(0, 1))$?

Unitary transformation of Fubini-Study metric

Simpleminded example: flasque sheaves

Holomorphic vector fields on complex projective spaces

Any real analytic Frobenius theorem used in the proof of integrable almost complex manifolds to arise from complex manifolds?

In the Riemann sphere 1 is not summe of holomorphics map vanishing on 0 and $\infty$

Hermitian manifold counterexample

The image of a map $H^2 \setminus \Delta \to \mathbf{R}^4$ where $H$ is the upper half-plane and $\Delta$ is the diagonal

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