List questions from line-bundles

Published on 23 Feb 2026 - 10:18

150

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How to compute direct images of ramified covering maps?

Published on 18 Jun 2022 - 11:35

219

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Exercise 4.4.2 from Huybrechts: Show $\int_X c_1(L)^n \ge 0$

Published on 28 Jun 2022 - 6:56

61

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Roots of line bundles in a family

Published on 12 Jul 2022 - 18:09

167

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Why the global sections of the hyperplane bundle over a projectivization $\mathbb{P}(V)$ can be identified with the dual Space $V^*$

Published on 25 Jul 2022 - 2:56

169

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First chern class of a line bundle and curvature

Published on 25 Jul 2022 - 13:43

91

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Euler characteristic of the complex torus

Published on 01 Aug 2022 - 7:01

205

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Reference request: positive first chern class of tangent bundle implies anticanonical line bundle is ample

Published on 01 Aug 2022 - 10:58

157

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Map that represents tensor product of line bundles

Published on 06 Sep 2022 - 22:27

56

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For divisor $D$, how to describe isomorphisms $H^0(X,\mathcal{O}_D(nD)) \xrightarrow{\sim} H^0(X,\mathcal{O}_D\left((n+1)D\right)$?

Published on 07 Sep 2022 - 1:01

215

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First Stiefel-Whitney class of a line bundle over non-orientable surface

Published on 26 Mar 2026 - 2:55

220

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The Riemann-Roch Theorem for line bundles on a regular projective curve

Published on 15 Sep 2022 - 8:06

84

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An axial map induces a homotopy-commutative diagram

Published on 18 Sep 2022 - 18:12

119

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Canonical line bundle $\gamma^1_n$ of $\mathbb{R}P^n$ is not trivial

Published on 20 Sep 2022 - 11:40

104

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Reference request: Holomorphic line bundles on surface of $g>1$ and their cohomology

Published on 13 Oct 2022 - 12:05

List Question

Connections on indefinite inner product space bundles

How to compute direct images of ramified covering maps?

Exercise 4.4.2 from Huybrechts: Show $\int_X c_1(L)^n \ge 0$

Roots of line bundles in a family

Why the global sections of the hyperplane bundle over a projectivization $\mathbb{P}(V)$ can be identified with the dual Space $V^*$

First chern class of a line bundle and curvature

Euler characteristic of the complex torus

Reference request: positive first chern class of tangent bundle implies anticanonical line bundle is ample

Map that represents tensor product of line bundles

For divisor $D$, how to describe isomorphisms $H^0(X,\mathcal{O}_D(nD)) \xrightarrow{\sim} H^0(X,\mathcal{O}_D\left((n+1)D\right)$?

First Stiefel-Whitney class of a line bundle over non-orientable surface

The Riemann-Roch Theorem for line bundles on a regular projective curve

An axial map induces a homotopy-commutative diagram

Canonical line bundle $\gamma^1_n$ of $\mathbb{R}P^n$ is not trivial

Reference request: Holomorphic line bundles on surface of $g>1$ and their cohomology

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