List questions from line-bundles

Published on 17 Apr 2020 - 23:44

136

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Does the canonical line bundle coincide with dualizing sheaf when the base scheme is arbitrary

Published on 18 Apr 2020 - 10:30

117

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Polarization of abelian variety made by the sum of two divisors

Published on 25 Mar 2026 - 7:44

197

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Direct proof for $\mathcal{O}_{\mathbb{CP}_{1}}(-2) \cong T^{*}\mathbb{CP}_{1}$

Published on 15 May 2020 - 16:13

361

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Identify a pullback line bundle on $\mathbb{P}^1$

Published on 23 Feb 2026 - 10:07

141

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Prove is a line bundle

Published on 17 Jun 2020 - 8:40

838

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When does the Picard group embeds inside the divisor class group?

Published on 30 Jun 2020 - 11:12

77

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Local class group and Class group of localizations

Published on 04 Jul 2020 - 5:31

756

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Relation between tautological line bundle and blow up at the origin

Published on 25 Jul 2020 - 8:40

33

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What is the connection between divisors and line bundles?

Published on 25 Jul 2020 - 19:00

199

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Explicit description of $\mathcal{O}_{\Bbb{P}^1}(-1)$ as a line bundle

Published on 27 Jul 2020 - 20:57

80

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Tautological bundle of $\mathbb{P}^1(\mathbb{C})$

Published on 05 Jan 2017 - 22:21

86

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$\mathcal{O}_{\mathbb{P}^1}(d)\cong L(d)$

Published on 10 Jan 2017 - 22:21

30

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Subbundle of hermitian maps is isomorphic (as a bundle) to $M\times i\Bbb R$

Published on 07 Feb 2017 - 17:34

158

Views

Global differential form arising from an hermitian line bundle

Published on 29 Mar 2017 - 19:58

List Question

Remembering Riemann-Roch

Does the canonical line bundle coincide with dualizing sheaf when the base scheme is arbitrary

Polarization of abelian variety made by the sum of two divisors

Direct proof for $\mathcal{O}_{\mathbb{CP}_{1}}(-2) \cong T^{*}\mathbb{CP}_{1}$

Identify a pullback line bundle on $\mathbb{P}^1$

Prove is a line bundle

When does the Picard group embeds inside the divisor class group?

Local class group and Class group of localizations

Relation between tautological line bundle and blow up at the origin

What is the connection between divisors and line bundles?

Explicit description of $\mathcal{O}_{\Bbb{P}^1}(-1)$ as a line bundle

Tautological bundle of $\mathbb{P}^1(\mathbb{C})$

$\mathcal{O}_{\mathbb{P}^1}(d)\cong L(d)$

Subbundle of hermitian maps is isomorphic (as a bundle) to $M\times i\Bbb R$

Global differential form arising from an hermitian line bundle

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