Question

Monge's viewing method to prove Desargues' theorem

score 106 · Answer 1 · 2021-09-14 15:00:48

106

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Monge's viewing method to prove Desargues' theorem

Published on 14 Sep 2021 - 15:00

score 141 · Answer 2 · 2021-09-14 20:17:26

141

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The Hyperplane $s = \sum a_i x_i$ in $\mathbb{P}^n_k$ contains a closed point $P$ if and only if $s \in \mathfrak{m}_P \mathscr{L}_P$.

Published on 14 Sep 2021 - 20:17

score 94 · Answer 3 · 2021-09-16 05:09:25

94

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Intuitive visualization that the rotational symmetry group of $S^3$ as $SO(4)=(S^3\times S^3)/\mathbf{Z}/2$

Published on 16 Sep 2021 - 5:09

score 51 · Answer 4 · 2021-09-16 18:27:36

51

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Name for the `projective-like space' of rays from the origin

Published on 16 Sep 2021 - 18:27

score 123 · Answer 5 · 2026-03-27 02:59:49

123

Views

A proper definition for homogeneous coordinates in geometric image formation

Published on 27 Mar 2026 - 2:59

score 284 · Answer 6 · 2021-09-18 14:16:57

284

Views

How many curves of degree n pass through a set of d point?

Published on 18 Sep 2021 - 14:16

score 23 · Answer 7 · 2021-09-18 17:32:18

23

Views

Minimum number of projective subspaces of dimension 3 to generate a space of dimension 11

Published on 18 Sep 2021 - 17:32

score 23 · Answer 8 · 2026-03-30 23:58:37

23

Views

Is every isometric relation derivable and constructible (from/to some set of points) via rigid transformations? Can these be expressed exhaustively?

Published on 30 Mar 2026 - 23:58

score 44 · Answer 9 · 2021-09-20 11:19:21

44

Views

Question about the element of open set on the projective n-space

Published on 20 Sep 2021 - 11:19

score 614 · Answer 10 · 2026-04-02 23:56:43

614

Views

Exercise 1.3 in Harris' Algebraic Geometry

Published on 02 Apr 2026 - 23:56

score 181 · Answer 11 · 2026-02-23 08:27:01

181

Views

Prove product of 3 cross-ratios equals to 1 or -1

Published on 23 Feb 2026 - 8:27

score 246 · Answer 12 · 2026-03-26 06:31:55

246

Views

Identifying $\mathcal{O}_X(-1)$ with the blow-up of the cone of $X$ at the origin

Published on 26 Mar 2026 - 6:31

score 195 · Answer 13 · 2026-03-26 23:09:54

195

Views

Dual of universal quotient bundle globally generated

Published on 26 Mar 2026 - 23:09

score 650 · Answer 14 · 2021-10-04 15:10:47

650

Views

Given two conics touching each other in two different points, prove the following collinearity

Published on 04 Oct 2021 - 15:10

score 140 · Answer 15 · 2021-10-09 08:47:58

140

Views

A conic tangent to two triangles

Published on 09 Oct 2021 - 8:47

List Question

Monge's viewing method to prove Desargues' theorem

The Hyperplane $s = \sum a_i x_i$ in $\mathbb{P}^n_k$ contains a closed point $P$ if and only if $s \in \mathfrak{m}_P \mathscr{L}_P$.

Intuitive visualization that the rotational symmetry group of $S^3$ as $SO(4)=(S^3\times S^3)/\mathbf{Z}/2$

Name for the `projective-like space' of rays from the origin

A proper definition for homogeneous coordinates in geometric image formation

How many curves of degree n pass through a set of d point?

Minimum number of projective subspaces of dimension 3 to generate a space of dimension 11

Is every isometric relation derivable and constructible (from/to some set of points) via rigid transformations? Can these be expressed exhaustively?

Question about the element of open set on the projective n-space

Exercise 1.3 in Harris' Algebraic Geometry

Prove product of 3 cross-ratios equals to 1 or -1

Identifying $\mathcal{O}_X(-1)$ with the blow-up of the cone of $X$ at the origin

Dual of universal quotient bundle globally generated

Given two conics touching each other in two different points, prove the following collinearity

A conic tangent to two triangles

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