List questions from line-bundles

Published on 17 Mar 2026 - 3:10

1.6k

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Can I comb unoriented hair on a ball?

Published on 17 Mar 2026 - 10:50

112

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Why is : $ K_{ \mathbb{P}^{n} } = -(n+1) H = \mathcal{O}_{ \mathbb{P}^{n} } (-n-1) $?

Published on 05 May 2018 - 21:56

105

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When can you extend a holomorphic section of the Hyperplane bundle defined on a compact connected submanifold?

Published on 10 Jun 2018 - 7:42

1.2k

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Restriction of the exceptional divisor to itself as a line bundle

Published on 24 Mar 2026 - 23:45

92

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How does a choice of linearisation of a line bundle fix a moment map?

Published on 17 Mar 2026 - 22:57

238

Views

Differentiable complex line bundles are determined by their Chern class in $H^2(X,\mathbb{Z}$)?

Published on 25 Mar 2026 - 3:02

122

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Very ample line bundles on a scheme relative to itself

Published on 17 Mar 2026 - 15:51

637

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First Chern class for smooth line bundle

Published on 17 Mar 2026 - 2:54

495

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Showing the Hopf fibration has no global sections

Published on 25 Mar 2026 - 1:36

292

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Vanishing locus of global section of invertible sheaf has codimension one

Published on 05 Sep 2018 - 15:09

447

Views

Regular global sections of invertible sheaves

Published on 25 Mar 2026 - 3:01

295

Views

Linking the cohomology of a coherent sheaf on a curve with the cohomology of its restrictions to irreducible components

Published on 18 Sep 2018 - 14:00

563

Views

Zeros of a global section on a holomorphic line bundle

Published on 24 Mar 2026 - 23:47

115

Views

Show the space of flat connections $(\mathbb T^2)^N / {\mathfrak S}_N$ is a $(N-1)$-complex projective space

Published on 24 Oct 2018 - 18:50

List Question

Valuations on sections of line bundles

Can I comb unoriented hair on a ball?

Why is : $ K_{ \mathbb{P}^{n} } = -(n+1) H = \mathcal{O}_{ \mathbb{P}^{n} } (-n-1) $?

When can you extend a holomorphic section of the Hyperplane bundle defined on a compact connected submanifold?

Restriction of the exceptional divisor to itself as a line bundle

How does a choice of linearisation of a line bundle fix a moment map?

Differentiable complex line bundles are determined by their Chern class in $H^2(X,\mathbb{Z}$)?

Very ample line bundles on a scheme relative to itself

First Chern class for smooth line bundle

Showing the Hopf fibration has no global sections

Vanishing locus of global section of invertible sheaf has codimension one

Regular global sections of invertible sheaves

Linking the cohomology of a coherent sheaf on a curve with the cohomology of its restrictions to irreducible components

Zeros of a global section on a holomorphic line bundle

Show the space of flat connections $(\mathbb T^2)^N / {\mathfrak S}_N$ is a $(N-1)$-complex projective space

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