List questions from complex-manifolds

Published on 29 Apr 2026 - 12:46

498

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Diffeomorphism between two manifolds

Published on 25 Apr 2026 - 11:33

232

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Real Lie group acting on a complex manifold

Published on 04 May 2026 - 21:17

78

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Question about the definition of a complex manifold

Published on 04 May 2026 - 20:08

229

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What does being "holomorphic at the cusps" mean?

Published on 05 May 2026 - 7:29

74

Views

foliation with many tangencies

Published on 07 May 2026 - 20:19

465

Views

Complex Vector Bundle vs Holomorphic Vector Bundle vs Almost Complex Structures

Published on 10 May 2026 - 15:32

202

Views

Proving that $\mathbb{P}^{n}(\mathbb{C})$ is homeomorphic to $S^{2n+1}/S^{1}$

Published on 29 Apr 2026 - 12:49

935

Views

Fubini-Study on $\mathbb CP^1$

Published on 07 May 2026 - 12:13

88

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Is there a complex structure on $\mathbb{R}^2$ such that $f(x,y) = x-iy$ is analytic?

Published on 10 May 2026 - 13:56

458

Views

A continuous homomorphism of analytic Lie groups is analytic?

Published on 07 May 2026 - 19:03

88

Views

Extending the $\bar \partial$-Poincaré Lemma by using a partition of unity

Published on 10 May 2026 - 14:56

49

Views

Let $M$ be a complex manifold. Why are the bundles $\bigwedge^{p, q}M$ not holomorphic vector bundles over $M$ for $q \neq 0$ ?

Published on 26 Apr 2026 - 11:57

67

Views

Complex structure on $\mathbb{C}P^1$

Published on 10 May 2026 - 12:29

197

Views

Compactification of $\mathbb{C}$ and complex curves

Published on 10 May 2026 - 12:31

List Question

Equality of $C^\infty$-functions on a complex manifold

Diffeomorphism between two manifolds

Real Lie group acting on a complex manifold

Question about the definition of a complex manifold

What does being "holomorphic at the cusps" mean?

foliation with many tangencies

Complex Vector Bundle vs Holomorphic Vector Bundle vs Almost Complex Structures

Proving that $\mathbb{P}^{n}(\mathbb{C})$ is homeomorphic to $S^{2n+1}/S^{1}$

Fubini-Study on $\mathbb CP^1$

Is there a complex structure on $\mathbb{R}^2$ such that $f(x,y) = x-iy$ is analytic?

A continuous homomorphism of analytic Lie groups is analytic?

Extending the $\bar \partial$-Poincaré Lemma by using a partition of unity

Let $M$ be a complex manifold. Why are the bundles $\bigwedge^{p, q}M$ not holomorphic vector bundles over $M$ for $q \neq 0$ ?

Complex structure on $\mathbb{C}P^1$

Compactification of $\mathbb{C}$ and complex curves

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