Question

A line through fixed points, in $\mathbb{P^2}$ , is a fixed line or an invariant one?

score 117 · Answer 1 · 2026-03-25 04:57:29

117

Views

A line through fixed points, in $\mathbb{P^2}$ , is a fixed line or an invariant one?

Published on 25 Mar 2026 - 4:57

score 181 · Answer 2 · 2026-03-25 20:53:32

181

Views

Family of parabolas with given directrix and incident point

Published on 25 Mar 2026 - 20:53

score 86 · Answer 3 · 2018-05-23 05:08:16

86

Views

Is there any justification for that the line at infinity form a closed loop in projective plane _

Published on 23 May 2018 - 5:08

score 39 · Answer 4 · 2026-03-25 11:01:43

39

Views

Projective space prolongation of a rationnal map

Published on 25 Mar 2026 - 11:01

score 2.2k · Answer 5 · 2026-03-25 19:03:38

2.2k

Views

Proving that a transformation is an isometry and find the projectivity which reperesents

Published on 25 Mar 2026 - 19:03

score 128 · Answer 6 · 2026-03-25 01:18:33

128

Views

Calculating the lattice of the tori of a non-singular projective cubic curve

Published on 25 Mar 2026 - 1:18

score 107 · Answer 7 · 2026-03-25 19:05:48

107

Views

A projectivity $\tau: \mathbb{CP^1} \to \mathbb{CP^1}$ such that $\tau(P_i)=Q_i$

Published on 25 Mar 2026 - 19:05

score 167 · Answer 8 · 2018-05-24 14:55:12

167

Views

9 points on a quadric hypersurface

Published on 24 May 2018 - 14:55

score 36 · Answer 9 · 2018-05-24 23:13:54

36

Views

Irreducible projective algebraic planer curve of arbitrary degree with maximal singular points.

Published on 24 May 2018 - 23:13

score 43 · Answer 10 · 2026-03-25 22:05:34

43

Views

A projectivity $\tau: \mathbb{P^2} \to \mathbb{P^2}$ s. t. fixes the point $P=(-1,1)$ and has $r:x-y-1=0$ as invariant line.

Published on 25 Mar 2026 - 22:05

score 129 · Answer 11 · 2026-03-25 12:17:20

129

Views

Given the vertex of a parabola, finding the self-polar triangle

Published on 25 Mar 2026 - 12:17

score 22 · Answer 12 · 2026-03-25 22:05:16

22

Views

Show that all the conics o tangential in $[1,0,0]$ on the line $x_1=0$, is a 3D subspace of $\mathbb{P}(Sym_{\mathbb{R}}(3))$

Published on 25 Mar 2026 - 22:05

score 277 · Answer 13 · 2026-03-25 22:10:35

277

Views

Find all the isometries which fix a conic

Published on 25 Mar 2026 - 22:10

score 123 · Answer 14 · 2018-05-28 16:59:04

123

Views

What projective groups whose characters form the basis of their corresponding $L^2$ space?

Published on 28 May 2018 - 16:59

score 304 · Answer 15 · 2018-05-29 09:50:59

304

Views

Camera orientation and focal length from two 3D points and known position

Published on 29 May 2018 - 9:50

List Question

A line through fixed points, in $\mathbb{P^2}$ , is a fixed line or an invariant one?

Family of parabolas with given directrix and incident point

Is there any justification for that the line at infinity form a closed loop in projective plane _

Projective space prolongation of a rationnal map

Proving that a transformation is an isometry and find the projectivity which reperesents

Calculating the lattice of the tori of a non-singular projective cubic curve

A projectivity $\tau: \mathbb{CP^1} \to \mathbb{CP^1}$ such that $\tau(P_i)=Q_i$

9 points on a quadric hypersurface

Irreducible projective algebraic planer curve of arbitrary degree with maximal singular points.

A projectivity $\tau: \mathbb{P^2} \to \mathbb{P^2}$ s. t. fixes the point $P=(-1,1)$ and has $r:x-y-1=0$ as invariant line.

Given the vertex of a parabola, finding the self-polar triangle

Show that all the conics o tangential in $[1,0,0]$ on the line $x_1=0$, is a 3D subspace of $\mathbb{P}(Sym_{\mathbb{R}}(3))$

Find all the isometries which fix a conic

What projective groups whose characters form the basis of their corresponding $L^2$ space?

Camera orientation and focal length from two 3D points and known position

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