Question

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

score 119 · Answer 1 · 2026-04-15 10:43:25

119

Views

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

Published on 15 Apr 2026 - 10:43

score 183 · Answer 2 · 2026-04-12 18:50:32

183

Views

Family of parabolas with given directrix and incident point

Published on 12 Apr 2026 - 18:50

score 89 · Answer 3 · 2026-04-13 00:38:52

89

Views

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

Published on 13 Apr 2026 - 0:38

score 42 · Answer 4 · 2026-05-10 15:51:42

42

Views

Projective space prolongation of a rationnal map

Published on 10 May 2026 - 15:51

score 2.2k · Answer 5 · 2026-04-12 04:42:13

2.2k

Views

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

Published on 12 Apr 2026 - 4:42

score 130 · Answer 6 · 2026-05-10 12:35:33

130

Views

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

Published on 10 May 2026 - 12:35

score 109 · Answer 7 · 2026-04-14 17:50:46

109

Views

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

Published on 14 Apr 2026 - 17:50

score 170 · Answer 8 · 2026-04-16 09:46:11

170

Views

9 points on a quadric hypersurface

Published on 16 Apr 2026 - 9:46

score 39 · Answer 9 · 2026-04-13 22:23:19

39

Views

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

Published on 13 Apr 2026 - 22:23

score 45 · Answer 10 · 2026-04-15 18:47:06

45

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 15 Apr 2026 - 18:47

score 132 · Answer 11 · 2026-05-10 16:59:48

132

Views

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

Published on 10 May 2026 - 16:59

score 24 · Answer 12 · 2026-04-16 13:41:13

24

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 16 Apr 2026 - 13:41

score 279 · Answer 13 · 2026-04-15 07:29:07

279

Views

Find all the isometries which fix a conic

Published on 15 Apr 2026 - 7:29

score 126 · Answer 14 · 2026-04-14 20:47:49

126

Views

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

Published on 14 Apr 2026 - 20:47

score 307 · Answer 15 · 2026-04-17 15:51:40

307

Views

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

Published on 17 Apr 2026 - 15:51

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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