Question

Gluing of $\operatorname{Spec} k[x,y], \operatorname{Spec} k[x^{-1},x^{-1}y],$ and $\operatorname{Spec} k[y^{-1},xy^{-1}]$

score 69 · Answer 1 · 2026-03-25 09:51:14

69

Views

Gluing of $\operatorname{Spec} k[x,y], \operatorname{Spec} k[x^{-1},x^{-1}y],$ and $\operatorname{Spec} k[y^{-1},xy^{-1}]$

Published on 25 Mar 2026 - 9:51

score 207 · Answer 2 · 2026-03-27 10:07:04

207

Views

Cartier Divisor for Hyperplane

Published on 27 Mar 2026 - 10:07

score 65 · Answer 3 · 2021-11-07 18:17:16

65

Views

Union of $\{[v^3]: v\in V\}$ and $\{[v^2w]:v,w\in V \text{ linearly independent}\}$ is a quartic surface in $\mathbb{P}^3$

Published on 07 Nov 2021 - 18:17

score 472 · Answer 4 · 2026-03-26 12:33:50

472

Views

What is the moduli space $M _{0,5}$?

Published on 26 Mar 2026 - 12:33

score 78 · Answer 5 · 2026-03-30 02:03:32

78

Views

projective submanifold

Published on 30 Mar 2026 - 2:03

score 71 · Answer 6 · 2026-03-31 17:50:38

71

Views

In projective geometry, how does the choice of a hyperplane at infinity affect the structure of the affine space it defines?

Published on 31 Mar 2026 - 17:50

score 38 · Answer 7 · 2021-11-15 22:04:46

38

Views

Show that there exists a function such that all points $P_i \in k^2$ are mapped to some $\lambda_i \in k$

Published on 15 Nov 2021 - 22:04

score 60 · Answer 8 · 2021-11-16 04:23:31

60

Views

Show the linear system of conics in $P\mathbb{K}^2$ tangent to a line L at P has codimension 2

Published on 16 Nov 2021 - 4:23

score 221 · Answer 9 · 2026-03-27 10:16:56

221

Views

Diffeomorphism between $\mathbf S^2 \times \mathbf S^2$ and complex projective hypersurface

Published on 27 Mar 2026 - 10:16

score 572 · Answer 10 · 2021-11-23 14:16:50

572

Views

How many elements are in the projective line $\mathbb{P}^{1}(k)$ if k is a finite field

Published on 23 Nov 2021 - 14:16

score 428 · Answer 11 · 2021-11-26 03:29:34

428

Views

What's the definition of an isomorphism between projective planes?

Published on 26 Nov 2021 - 3:29

score 202 · Answer 12 · 2021-11-28 00:12:30

202

Views

Proving ${\mathbb{P}}^n$ is Hausdorff

Published on 28 Nov 2021 - 0:12

score 130 · Answer 13 · 2026-03-28 21:06:43

130

Views

Show that the dimention of the intersection of projective linear sub-spaces of dimentions $d_1$ and $d_2$ of $\mathbb{P}^n$ is bigger than $d_1+d_2-n$

Published on 28 Mar 2026 - 21:06

score 96 · Answer 14 · 2021-12-02 16:55:27

96

Views

Finitely vanishing vector field on the real projective plane

Published on 02 Dec 2021 - 16:55

score 153 · Answer 15 · 2026-04-02 11:07:18

153

Views

Intersection of a projective curve and a hyperplane

Published on 02 Apr 2026 - 11:07

List Question

Gluing of $\operatorname{Spec} k[x,y], \operatorname{Spec} k[x^{-1},x^{-1}y],$ and $\operatorname{Spec} k[y^{-1},xy^{-1}]$

Cartier Divisor for Hyperplane

Union of $\{[v^3]: v\in V\}$ and $\{[v^2w]:v,w\in V \text{ linearly independent}\}$ is a quartic surface in $\mathbb{P}^3$

What is the moduli space $M _{0,5}$?

projective submanifold

In projective geometry, how does the choice of a hyperplane at infinity affect the structure of the affine space it defines?

Show that there exists a function such that all points $P_i \in k^2$ are mapped to some $\lambda_i \in k$

Show the linear system of conics in $P\mathbb{K}^2$ tangent to a line L at P has codimension 2

Diffeomorphism between $\mathbf S^2 \times \mathbf S^2$ and complex projective hypersurface

How many elements are in the projective line $\mathbb{P}^{1}(k)$ if k is a finite field

What's the definition of an isomorphism between projective planes?

Proving ${\mathbb{P}}^n$ is Hausdorff

Show that the dimention of the intersection of projective linear sub-spaces of dimentions $d_1$ and $d_2$ of $\mathbb{P}^n$ is bigger than $d_1+d_2-n$

Finitely vanishing vector field on the real projective plane

Intersection of a projective curve and a hyperplane

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