Question

Can space be augmented with a plane at infinity so that parallel planes intersect at a line at infinity?

score 81 · Answer 1 · 2026-03-26 21:35:12

81

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Can space be augmented with a plane at infinity so that parallel planes intersect at a line at infinity?

Published on 26 Mar 2026 - 21:35

score 71 · Answer 2 · 2026-03-30 02:24:11

71

Views

Action of $SL_2(\mathbb{Z})$ on the projective plane over $\mathbb{Z}_p$

Published on 30 Mar 2026 - 2:24

score 44 · Answer 3 · 2026-03-29 18:32:54

44

Views

Isotropy subgroup of $\operatorname{GL}_{n+1}(\mathbb R)$ acting on $\mathbb R \mathbb P^n$

Published on 29 Mar 2026 - 18:32

score 69 · Answer 4 · 2024-03-05 13:16:52

69

Views

Why $\mathbb{CP}^1 \cong S^2$?

Published on 05 Mar 2024 - 13:16

score 53 · Answer 5 · 2026-03-27 04:38:27

53

Views

If $\phi:V_1\rightarrow V_2$ is a morphism of varieties then $V_1\cong \phi(V_1)$

Published on 27 Mar 2026 - 4:38

score 45 · Answer 6 · 2024-03-10 09:54:40

45

Views

How to think about projective geometry problems

Published on 10 Mar 2024 - 9:54

score 26 · Answer 7 · 2024-03-12 00:58:13

26

Views

Irreducible components of an affine cone are affine cones

Published on 12 Mar 2024 - 0:58

score 37 · Answer 8 · 2024-03-13 01:44:11

37

Views

Set is equal to its closure in projective space

Published on 13 Mar 2024 - 1:44

score 57 · Answer 9 · 2026-03-30 00:20:13

57

Views

Difference between the sphere and RP^2 in the generators and relations of $\pi_1$

Published on 30 Mar 2026 - 0:20

score 24 · Answer 10 · 2024-03-17 23:59:07

24

Views

Equality of dimensions for projective varieties

Published on 17 Mar 2024 - 23:59

score 207 · Answer 11 · 2024-03-25 15:45:37

207

Views

Global sections of the line bundle $\mathcal{O}(k)$, Prop. 2.4.1 Huybrecht's $\mathbb{C}[z_0,\ldots,z_n]_k\cong H^0(\mathbb{P}^n,\mathcal{O}(k))$

Published on 25 Mar 2024 - 15:45

score 54 · Answer 12 · 2024-03-26 21:38:06

54

Views

How can I show that the quotient function to the real projective space is closed?

Published on 26 Mar 2024 - 21:38

score 28 · Answer 13 · 2024-03-27 00:10:54

28

Views

Rational map of projective varieties is determined by homogeneous functions

Published on 27 Mar 2024 - 0:10

score 23 · Answer 14 · 2026-03-28 00:31:03

$AG(2,2)$ and $AG(3,2)$ and their resp. triangular (Fano plane-like) and tetrahedral ($PG(3,2)$-like) representations. Are my assumptions correct?

score 35 · Answer 15 · 2024-03-31 12:53:50

35

Views

Definition of projective space

Published on 31 Mar 2024 - 12:53

List Question

Can space be augmented with a plane at infinity so that parallel planes intersect at a line at infinity?

Action of $SL_2(\mathbb{Z})$ on the projective plane over $\mathbb{Z}_p$

Isotropy subgroup of $\operatorname{GL}_{n+1}(\mathbb R)$ acting on $\mathbb R \mathbb P^n$

Why $\mathbb{CP}^1 \cong S^2$?

If $\phi:V_1\rightarrow V_2$ is a morphism of varieties then $V_1\cong \phi(V_1)$

How to think about projective geometry problems

Irreducible components of an affine cone are affine cones

Set is equal to its closure in projective space

Difference between the sphere and RP^2 in the generators and relations of $\pi_1$

Equality of dimensions for projective varieties

Global sections of the line bundle $\mathcal{O}(k)$, Prop. 2.4.1 Huybrecht's $\mathbb{C}[z_0,\ldots,z_n]_k\cong H^0(\mathbb{P}^n,\mathcal{O}(k))$

How can I show that the quotient function to the real projective space is closed?

Rational map of projective varieties is determined by homogeneous functions

$AG(2,2)$ and $AG(3,2)$ and their resp. triangular (Fano plane-like) and tetrahedral ($PG(3,2)$-like) representations. Are my assumptions correct?

Definition of projective space

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