Question

Structure sheaf of the projectivization of a bundle

score 73 · Answer 1 · 2023-09-26 13:21:30

73

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Structure sheaf of the projectivization of a bundle

Published on 26 Sep 2023 - 13:21

score 48 · Answer 2 · 2026-03-25 17:38:01

48

Views

Confusion about line bundles and the intersection product

Published on 25 Mar 2026 - 17:38

score 73 · Answer 3 · 2023-10-06 13:14:35

73

Views

Kodaira dimension on curve is $0$ implies elliptic curve

Published on 06 Oct 2023 - 13:14

score 24 · Answer 4 · 2026-03-25 13:57:04

24

Views

Example of a family of ample divisors $\{A_m\}_{m\geq 1}$ on a smooth projective variety $X$ such that $mA_m$ has a basepoint?

Published on 25 Mar 2026 - 13:57

score 31 · Answer 5 · 2023-10-18 17:27:18

31

Views

Linearly equivariant prime divisors on a curve

Published on 18 Oct 2023 - 17:27

score 39 · Answer 6 · 2023-10-23 16:32:45

39

Views

The sheaf of modules coming from a Cartier divisor is a line bundle (claim in Görtz, Wedhorn, Algebraic Geometry I)

Published on 23 Oct 2023 - 16:32

score 52 · Answer 7 · 2023-10-24 17:50:50

52

Views

If the degree of a divisor on a Riemann surface is $\deg(D) \geq 2g$, then $L(D-(p)) \subsetneq L(D)$ for any point $p$

Published on 24 Oct 2023 - 17:50

score 62 · Answer 8 · 2023-10-25 12:19:17

Bijection between effective Cartier divisors isomorphic to a line bundle $\mathscr{L}$ and regular sections of $\mathscr{L}\mod\mathscr{O}_X^\times$

score 49 · Answer 9 · 2026-03-25 04:41:10

49

Views

The plane in the quadric 3-fold is not a (set-theoretic) hypersurface

Published on 25 Mar 2026 - 4:41

score 65 · Answer 10 · 2023-11-12 05:42:48

65

Views

Help with Harshorne Example II 6.5.2 on the Weil divisor class group of the affine cone

Published on 12 Nov 2023 - 5:42

score 127 · Answer 11 · 2023-11-22 11:59:52

127

Views

Irreducible vertical divisor on a (normal) fibered surface has dimension $1$ ? ( Liu's Algebraic Geometry )

Published on 22 Nov 2023 - 11:59

score 55 · Answer 12 · 2023-12-02 14:23:55

55

Views

Is this sheaf cohomology group trivial?

Published on 02 Dec 2023 - 14:23

score 14 · Answer 13 · 2023-12-03 14:21:00

14

Views

Linearly equivalent divisors on compact complex manifold

Published on 03 Dec 2023 - 14:21

score 26 · Answer 14 · 2023-12-31 11:48:16

26

Views

Homogenizing rational function in projective field to find poles gives different poles depending on which $X_i$ is used for homogenizing

Published on 31 Dec 2023 - 11:48

score 52 · Answer 15 · 2024-01-02 12:26:16

52

Views

Correspondence, cycle class map and Bloch's decomposition of the diagonal

Published on 02 Jan 2024 - 12:26

List Question

Structure sheaf of the projectivization of a bundle

Confusion about line bundles and the intersection product

Kodaira dimension on curve is $0$ implies elliptic curve

Example of a family of ample divisors $\{A_m\}_{m\geq 1}$ on a smooth projective variety $X$ such that $mA_m$ has a basepoint?

Linearly equivariant prime divisors on a curve

The sheaf of modules coming from a Cartier divisor is a line bundle (claim in Görtz, Wedhorn, Algebraic Geometry I)

If the degree of a divisor on a Riemann surface is $\deg(D) \geq 2g$, then $L(D-(p)) \subsetneq L(D)$ for any point $p$

Bijection between effective Cartier divisors isomorphic to a line bundle $\mathscr{L}$ and regular sections of $\mathscr{L}\mod\mathscr{O}_X^\times$

The plane in the quadric 3-fold is not a (set-theoretic) hypersurface

Help with Harshorne Example II 6.5.2 on the Weil divisor class group of the affine cone

Irreducible vertical divisor on a (normal) fibered surface has dimension $1$ ? ( Liu's Algebraic Geometry )

Is this sheaf cohomology group trivial?

Linearly equivalent divisors on compact complex manifold

Homogenizing rational function in projective field to find poles gives different poles depending on which $X_i$ is used for homogenizing

Correspondence, cycle class map and Bloch's decomposition of the diagonal

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