List questions from line-bundles

Published on 10 Aug 2020 - 13:43

96

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Valuation of a rational section of an invertible sheaf at a codim 1 point

Published on 23 Aug 2020 - 4:22

188

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Canonical divisor and canonical bundle

Published on 23 Aug 2020 - 19:50

139

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Weil divisor arising from invertible sheaf and rational section?

Published on 24 Aug 2020 - 4:52

200

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Map to Proj of ring of sections

Published on 26 Aug 2020 - 22:25

320

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Ampleness of a line bundle on the generic fibre

Published on 03 Sep 2020 - 15:40

564

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Divisor of a rational section in Ravi Vakil's notes

Published on 12 Sep 2020 - 6:54

820

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Geometric meaning of the degree of the normal bundle $\mathcal{N}_{C/X}$

Published on 15 Sep 2020 - 1:07

655

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How should I understand Kodaira dimension?

Published on 23 Sep 2020 - 8:55

55

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Given an element $\omega \in H^{(1,1)}(X,\mathbb{C})$ how to construct a line bundle with chern class $\omega$?

Published on 24 Sep 2020 - 9:48

101

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When a line bundle on a projective variety separates tangent vector?

Published on 24 Sep 2020 - 16:01

72

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Does the restriction of $\mathcal{O}(1)$ to a quadric have a square root?

Published on 26 Sep 2020 - 1:42

77

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How to see this identification of a Springer fiber with the bundle $\mathcal{O}_{\mathbb{P}}(2)$

Published on 30 Sep 2020 - 23:27

131

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Construction of a quotient line bundle of a semistable vector bundle

Published on 06 Oct 2020 - 12:51

532

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Holomorphic line bundles with trivial Chern class are flat

Published on 10 Oct 2020 - 20:25

List Question

On a variety, every line bundle $L$ is isomorphic to $\mathcal{O}(D)$ for some Cartier divisor $D$?

Valuation of a rational section of an invertible sheaf at a codim 1 point

Canonical divisor and canonical bundle

Weil divisor arising from invertible sheaf and rational section?

Map to Proj of ring of sections

Ampleness of a line bundle on the generic fibre

Divisor of a rational section in Ravi Vakil's notes

Geometric meaning of the degree of the normal bundle $\mathcal{N}_{C/X}$

How should I understand Kodaira dimension?

Given an element $\omega \in H^{(1,1)}(X,\mathbb{C})$ how to construct a line bundle with chern class $\omega$?

When a line bundle on a projective variety separates tangent vector?

Does the restriction of $\mathcal{O}(1)$ to a quadric have a square root?

How to see this identification of a Springer fiber with the bundle $\mathcal{O}_{\mathbb{P}}(2)$

Construction of a quotient line bundle of a semistable vector bundle

Holomorphic line bundles with trivial Chern class are flat

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