Question

Every projective algebraic set can be written as the zero set of finitely many homogeneous polynomials of the same degree.

score 684 · Answer 1 · 2026-04-10 23:05:35

684

Views

Every projective algebraic set can be written as the zero set of finitely many homogeneous polynomials of the same degree.

Published on 10 Apr 2026 - 23:05

score 71 · Answer 2 · 2026-04-22 06:19:19

71

Views

$\mathcal{O}_{X_y,x}=\mathcal{O}_{X,x}/\mathfrak{m}_y\mathcal{O}_{X,x}$

Published on 22 Apr 2026 - 6:19

score 299 · Answer 3 · 2026-04-30 04:00:47

299

Views

Degree of map using Poincare Duality

Published on 30 Apr 2026 - 4:00

score 99 · Answer 4 · 2026-04-11 11:01:05

99

Views

Some question about Bézout's theorem: when all intersection points can lie into a field

Published on 11 Apr 2026 - 11:01

score 286 · Answer 5 · 2026-04-14 07:28:06

286

Views

Dimension of some moduli spaces

Published on 14 Apr 2026 - 7:28

score 161 · Answer 6 · 2026-04-14 19:26:14

161

Views

projective homogeneous $G$-variety is equivariantly isomorphic to a partial flag variety $G/P$ where $P$ is projective variety.

Published on 14 Apr 2026 - 19:26

score 417 · Answer 7 · 2026-04-15 07:52:49

417

Views

the diagonal $\Delta (Y) =\{(y,y)\in Y \times Y\}$ is closed in $\Bbb P^m \times \Bbb P^m $

Published on 15 Apr 2026 - 7:52

score 1.6k · Answer 8 · 2026-03-25 20:52:49

1.6k

Views

Relations of Characteristic classes: Chern, Stiefel-Whitney, Pontryagin, Euler, Wu class.

Published on 25 Mar 2026 - 20:52

score 237 · Answer 9 · 2026-04-14 13:25:40

237

Views

A question on the morphism of projective varieties

Published on 14 Apr 2026 - 13:25

score 171 · Answer 10 · 2026-04-15 09:46:29

171

Views

Question about twisting sheaves: Twisting by two points on $\mathbb{P}^1$ and basepoints of $\mathscr{O}(-1)$

Published on 15 Apr 2026 - 9:46

score 1.6k · Answer 11 · 2026-04-14 03:53:09

1.6k

Views

Trying to understand the use of the "word" pullback/pushforward.

Published on 14 Apr 2026 - 3:53

score 165 · Answer 12 · 2026-04-11 07:26:18

165

Views

An question on effective divisor (Clifford 'S theorem)

Published on 11 Apr 2026 - 7:26

score 158 · Answer 13 · 2026-04-16 12:08:40

158

Views

Are $k$ points on a smooth algebraic plane curve ever in general position?

Published on 16 Apr 2026 - 12:08

score 246 · Answer 14 · 2026-04-13 10:51:40

246

Views

Configuration scheme of $n$ points

Published on 13 Apr 2026 - 10:51

score 810 · Answer 15 · 2026-04-10 22:28:21

810

Views

What are the prerequisites for reading SGA 1?

Published on 10 Apr 2026 - 22:28

List Question

Every projective algebraic set can be written as the zero set of finitely many homogeneous polynomials of the same degree.

$\mathcal{O}_{X_y,x}=\mathcal{O}_{X,x}/\mathfrak{m}_y\mathcal{O}_{X,x}$

Degree of map using Poincare Duality

Some question about Bézout's theorem: when all intersection points can lie into a field

Dimension of some moduli spaces

projective homogeneous $G$-variety is equivariantly isomorphic to a partial flag variety $G/P$ where $P$ is projective variety.

the diagonal $\Delta (Y) =\{(y,y)\in Y \times Y\}$ is closed in $\Bbb P^m \times \Bbb P^m $

Relations of Characteristic classes: Chern, Stiefel-Whitney, Pontryagin, Euler, Wu class.

A question on the morphism of projective varieties

Question about twisting sheaves: Twisting by two points on $\mathbb{P}^1$ and basepoints of $\mathscr{O}(-1)$

Trying to understand the use of the "word" pullback/pushforward.

An question on effective divisor (Clifford 'S theorem)

Are $k$ points on a smooth algebraic plane curve ever in general position?

Configuration scheme of $n$ points

What are the prerequisites for reading SGA 1?

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