List questions from divisors-algebraic-geometry

Published on 11 Dec 2017 - 17:27

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Restriction of Weil divisor at inflection point

Published on 10 Jan 2018 - 11:22

301

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Problem with Example II.6.6.3 in Hartshorne

Published on 11 Jan 2018 - 12:06

22.3k

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Divisor -- line bundle correspondence in algebraic geometry

Published on 25 Mar 2026 - 19:10

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Canonical divisor on algebraic curve

Published on 11 Jan 2011 - 10:34

1.3k

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If $D$ is a Weil divisor, how do I get the invertible sheaf $\mathcal{O}_S(D)$?

Published on 02 Aug 2020 - 23:45

46

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Describe a map $\rho : C^{(3)}\longrightarrow \operatorname{Pic}^3(C)$

Published on 08 Aug 2020 - 13:11

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How is adding these schemes meant?

Published on 08 Aug 2020 - 19:13

546

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Relationship between the ideal of an effective Cartier divisor and its invertible sheaf

Published on 25 Mar 2026 - 19:11

248

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

Published on 25 Mar 2026 - 22:04

66

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Free abelian group on prime divisors.

Published on 10 Aug 2020 - 18:18

71

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Why $\dim_{\mathbb{F}_q} H^0(X,D)^\sigma = \dim_{\mathbb{F}}H^0(X,D)$?

Published on 17 Aug 2020 - 18:59

291

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Hartshorne, chapter V, exercise 2.11, very ample divisors on ruled surfaces

Published on 18 Aug 2020 - 10:26

324

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What is $\mathcal{O}(\Delta)$ where $\Delta$ is the diagonal in $\mathbb{P}^1_k\times_k \mathbb{P}^1_k$?

Published on 20 Aug 2020 - 15:17

228

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Why are effective divisors on $\mathbb{P}^n$ positive?

Published on 22 Aug 2020 - 12:02

List Question

A confusion regarding the concept of principal divisor

Restriction of Weil divisor at inflection point

Problem with Example II.6.6.3 in Hartshorne

Divisor -- line bundle correspondence in algebraic geometry

Canonical divisor on algebraic curve

If $D$ is a Weil divisor, how do I get the invertible sheaf $\mathcal{O}_S(D)$?

Describe a map $\rho : C^{(3)}\longrightarrow \operatorname{Pic}^3(C)$

How is adding these schemes meant?

Relationship between the ideal of an effective Cartier divisor and its invertible sheaf

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

Free abelian group on prime divisors.

Why $\dim_{\mathbb{F}_q} H^0(X,D)^\sigma = \dim_{\mathbb{F}}H^0(X,D)$?

Hartshorne, chapter V, exercise 2.11, very ample divisors on ruled surfaces

What is $\mathcal{O}(\Delta)$ where $\Delta$ is the diagonal in $\mathbb{P}^1_k\times_k \mathbb{P}^1_k$?

Why are effective divisors on $\mathbb{P}^n$ positive?

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