List questions from line-bundles

Published on 10 May 2026 - 11:26

1.6k

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Can I comb unoriented hair on a ball?

Published on 29 Apr 2026 - 12:55

115

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

Published on 16 Apr 2026 - 6:33

109

Views

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

Published on 29 Apr 2026 - 12:56

1.2k

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Restriction of the exceptional divisor to itself as a line bundle

Published on 02 May 2026 - 13:30

97

Views

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

Published on 29 Apr 2026 - 12:56

240

Views

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

Published on 11 Apr 2026 - 20:10

125

Views

Very ample line bundles on a scheme relative to itself

Published on 13 Apr 2026 - 11:52

642

Views

First Chern class for smooth line bundle

Published on 29 Apr 2026 - 12:55

499

Views

Showing the Hopf fibration has no global sections

Published on 30 Apr 2026 - 0:41

297

Views

Vanishing locus of global section of invertible sheaf has codimension one

Published on 29 Apr 2026 - 12:56

449

Views

Regular global sections of invertible sheaves

Published on 29 Apr 2026 - 12:55

298

Views

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

Published on 29 Apr 2026 - 12:56

568

Views

Zeros of a global section on a holomorphic line bundle

Published on 10 May 2026 - 13:49

119

Views

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

Published on 29 Apr 2026 - 12:56

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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