List questions from complex-geometry

Published on 27 Sep 2018 - 10:42

344

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Serre duality in Cech cohomology

Published on 25 Mar 2026 - 6:01

52

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If $U$ is a connected open subset of $\mathbb{C}^n,n>2$ and $V$ is a closed subvariety of $U$, show that $U-V$ is connected

Published on 25 Mar 2026 - 7:45

72

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This integral on a Riemann surface must have a specific value?

Published on 25 Mar 2026 - 12:55

140

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Is the normal bundle invariant under homotopy?

Published on 25 Mar 2026 - 22:09

895

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Why do we want to consider the complexification of the tangent space in complex geometry?

Published on 30 Sep 2018 - 13:38

364

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Differential Forms on a complex manifold

Published on 30 Sep 2018 - 23:48

230

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How do I prove this map is a covering Projection

Published on 24 Mar 2026 - 23:43

85

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Why is the primitive cohomology real?

Published on 25 Mar 2026 - 10:54

49

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Relation between $\mathbb{C}[z_0,\dots,z_n]$-modules and sheaves of $\mathscr{O}_{\mathbb{P}^n}$-modules

Published on 03 Oct 2018 - 15:33

187

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Implicit function theorem and fiber

Published on 25 Mar 2026 - 12:47

389

Views

Monomorphisms of torsion-free sheaves induce monomorphims of their determinant line bundles.

Published on 25 Mar 2026 - 7:45

580

Views

Algebraic proof of Kodaira-Spencer isomorphism

Published on 25 Mar 2026 - 11:20

323

Views

Family of circles orthogonal to two given circles

Published on 26 Mar 2026 - 13:51

38

Views

real holomorphic field definition equivalence problem.

Published on 25 Mar 2026 - 9:22

List Question

Level Sets of Holomorphic Maps

Serre duality in Cech cohomology

If $U$ is a connected open subset of $\mathbb{C}^n,n>2$ and $V$ is a closed subvariety of $U$, show that $U-V$ is connected

This integral on a Riemann surface must have a specific value?

Is the normal bundle invariant under homotopy?

Why do we want to consider the complexification of the tangent space in complex geometry?

Differential Forms on a complex manifold

How do I prove this map is a covering Projection

Why is the primitive cohomology real?

Relation between $\mathbb{C}[z_0,\dots,z_n]$-modules and sheaves of $\mathscr{O}_{\mathbb{P}^n}$-modules

Implicit function theorem and fiber

Monomorphisms of torsion-free sheaves induce monomorphims of their determinant line bundles.

Algebraic proof of Kodaira-Spencer isomorphism

Family of circles orthogonal to two given circles

real holomorphic field definition equivalence problem.

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