Question

If $L$ is very ample, is the graded ring $\oplus_{n \geq 0} \Gamma(X, L^{\otimes n})$ finitely generated in degree 1 over degree 0?

score 112 · Answer 1 · 2022-09-28 05:00:04

112

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If $L$ is very ample, is the graded ring $\oplus_{n \geq 0} \Gamma(X, L^{\otimes n})$ finitely generated in degree 1 over degree 0?

Published on 28 Sep 2022 - 5:00

score 102 · Answer 2 · 2026-03-25 13:55:19

102

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Does every two-set partition of a projective plane contain a line?

Published on 25 Mar 2026 - 13:55

score 108 · Answer 3 · 2022-10-05 16:00:35

108

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Projective lines over $\mathbb{Q}$ and $\mathbb{Z}$

Published on 05 Oct 2022 - 16:00

score 48 · Answer 4 · 2022-10-06 09:48:53

48

Views

How to show $P \cong C(\mathbb Q)$, where $C(\mathbb Q)$ is the set of rational points on the projective variety $C:=V(X^2+Y^2=Z^2)$?

Published on 06 Oct 2022 - 9:48

score 179 · Answer 5 · 2026-03-26 16:06:25

179

Views

The Limit Set of a Cyclic Group Generated by an Irrational Rotation and Acting on the Complex Projective Line

Published on 26 Mar 2026 - 16:06

score 68 · Answer 6 · 2026-04-03 17:58:38

68

Views

Is the infinite complex projective space related to a projective separable Hilbert space?

Published on 03 Apr 2026 - 17:58

score 217 · Answer 7 · 2026-02-24 01:44:27

217

Views

Trouble proving that a plane in (synthetic) projective space containing two points must contain the line between them

Published on 24 Feb 2026 - 1:44

score 58 · Answer 8 · 2022-10-12 11:08:55

58

Views

Is $\mathbf{PGL}_2(k)$ a characteristic subgroup of $\mathbf{P\Gamma L}_2(k)$, $k$ a division ring?

Published on 12 Oct 2022 - 11:08

score 139 · Answer 9 · 2026-03-26 19:18:51

139

Views

Find irreducible components of the following projective algebraic set

Published on 26 Mar 2026 - 19:18

score 143 · Answer 10 · 2022-10-15 16:18:39

143

Views

Butterfly Theorem proof using projective geometry, I can't figure how does the cross ratio be equal in this case:

Published on 15 Oct 2022 - 16:18

score 93 · Answer 11 · 2022-10-17 16:50:04

93

Views

Can we arrange Noether normalization to be smooth at a given point?

Published on 17 Oct 2022 - 16:50

score 122 · Answer 12 · 2026-04-03 17:52:32

122

Views

How many planes contain a line in $\mathbb{P}^3$

Published on 03 Apr 2026 - 17:52

score 47 · Answer 13 · 2026-03-31 16:14:48

47

Views

If design matrices $X$, $Y$ are close to each other, are their projection matrices also close?

Published on 31 Mar 2026 - 16:14

score 58 · Answer 14 · 2026-04-03 17:55:30

58

Views

Cohomology of product of real projective space for complex oriented cohomology theory

Published on 03 Apr 2026 - 17:55

score 67 · Answer 15 · 2022-10-26 11:52:47

67

Views

A simple question about the defining equation of hyperplane $H = \{z_0 = 0\} \subset \Bbb{CP}^n$

Published on 26 Oct 2022 - 11:52

List Question

If $L$ is very ample, is the graded ring $\oplus_{n \geq 0} \Gamma(X, L^{\otimes n})$ finitely generated in degree 1 over degree 0?

Does every two-set partition of a projective plane contain a line?

Projective lines over $\mathbb{Q}$ and $\mathbb{Z}$

How to show $P \cong C(\mathbb Q)$, where $C(\mathbb Q)$ is the set of rational points on the projective variety $C:=V(X^2+Y^2=Z^2)$?

The Limit Set of a Cyclic Group Generated by an Irrational Rotation and Acting on the Complex Projective Line

Is the infinite complex projective space related to a projective separable Hilbert space?

Trouble proving that a plane in (synthetic) projective space containing two points must contain the line between them

Is $\mathbf{PGL}_2(k)$ a characteristic subgroup of $\mathbf{P\Gamma L}_2(k)$, $k$ a division ring?

Find irreducible components of the following projective algebraic set

Butterfly Theorem proof using projective geometry, I can't figure how does the cross ratio be equal in this case:

Can we arrange Noether normalization to be smooth at a given point?

How many planes contain a line in $\mathbb{P}^3$

If design matrices $X$, $Y$ are close to each other, are their projection matrices also close?

Cohomology of product of real projective space for complex oriented cohomology theory

A simple question about the defining equation of hyperplane $H = \{z_0 = 0\} \subset \Bbb{CP}^n$

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