List questions from line-bundles

Published on 05 Mar 2022 - 18:44

99

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Projective surface has an ample divisor

Published on 14 Mar 2022 - 6:10

206

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When the pull-back of positive line bundle by holomorphic map is also positive?

Published on 20 Mar 2022 - 12:22

74

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Pullback of tautological line bundle of $\Bbb{CP}^n$

Published on 24 Feb 2026 - 7:38

310

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Projectivization of a bundle is invariant under tensoring with a line bundle

Published on 08 Apr 2022 - 6:44

97

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Why do we have $\mu_* \mathcal{O}_Y(K_{Y/X}) = \mathcal{O}_X$ for a resolution?

Published on 15 Apr 2022 - 9:31

35

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Existence of a model for $(X,L)$

Published on 20 Apr 2022 - 12:52

69

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Line Bundles on Varieties

Published on 27 Apr 2022 - 18:59

196

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The first Stiefel-Whitney class of a trivial line bundle $E=M \times \mathbb{R}$

Published on 26 Mar 2026 - 4:34

81

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On global section of a line bundle.

Published on 26 May 2022 - 13:52

95

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Adjunction formula in Griffiths Harris

Published on 27 May 2022 - 15:14

61

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For an elliptic curve $X$, we have $X \cong \operatorname{Pic}^1(X)$. Why?

Published on 30 May 2022 - 13:11

61

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When is the anticanonical sheaf ample, on an arithmetic surface of genus 0?

Published on 02 Jun 2022 - 19:34

156

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Evaluation Map of Line Bundle from Lazarsfeld I

Published on 08 Jun 2022 - 13:50

241

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Explicit section of explicit line bundle on elliptic curve

Published on 14 Jun 2022 - 12:47

List Question

Type vs degree of a polarized abelian variety

Projective surface has an ample divisor

When the pull-back of positive line bundle by holomorphic map is also positive?

Pullback of tautological line bundle of $\Bbb{CP}^n$

Projectivization of a bundle is invariant under tensoring with a line bundle

Why do we have $\mu_* \mathcal{O}_Y(K_{Y/X}) = \mathcal{O}_X$ for a resolution?

Existence of a model for $(X,L)$

Line Bundles on Varieties

The first Stiefel-Whitney class of a trivial line bundle $E=M \times \mathbb{R}$

On global section of a line bundle.

Adjunction formula in Griffiths Harris

For an elliptic curve $X$, we have $X \cong \operatorname{Pic}^1(X)$. Why?

When is the anticanonical sheaf ample, on an arithmetic surface of genus 0?

Evaluation Map of Line Bundle from Lazarsfeld I

Explicit section of explicit line bundle on elliptic curve

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