List questions from affine-geometry

Published on 26 Mar 2026 - 14:42

96

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Shortest distance between two affine subspaces through orthogonal projection

Published on 11 Mar 2024 - 17:02

42

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Dominant rational maps and dimension of affine varieties

Published on 26 Mar 2026 - 19:19

48

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Rotate and Scale Around Different Origins using Local Coordinates

Published on 26 Mar 2026 - 4:30

249

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Why is maximum number of joints of 6 lines is 4?

Published on 25 Mar 2024 - 12:08

85

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Canonical isomorphism between tangent space and translation vector space of affine space

Published on 23 Feb 2026 - 9:12

40

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Let $M_1$ and $M_2$ be affine subspaces of $\Bbb R^n$ with $M_1 \cap M_2 \neq \emptyset$ and $\dim(M_1 \cap M_2)=\dim(M_1)$. Then $M_1 \subset M_2$.

Published on 27 Mar 2024 - 13:50

44

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If $M_1 \cup M_2 $ is a hyperplane in $\mathbb{R}^n$ then $M_1 = M_2$.

Published on 27 Mar 2024 - 16:14

22

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

Published on 30 Mar 2024 - 17:49

2.8k

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Every reflection is an isometry proof

Published on 26 Mar 2026 - 12:51

10.2k

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How to define an affine transformation using 2 triangles?

Published on 05 Jan 2015 - 16:48

260

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Intersections of convex hulls

Published on 08 Jan 2015 - 16:52

80

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Is it possible, to create a affine transformation matrix, from a function?

Published on 10 Jan 2015 - 11:41

471

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Affine transformation invariants and lie groups

Published on 26 Mar 2026 - 12:52

241

Views

Is $\mathbb{A}^1\times\mathbb{P}^1\cong\mathbb{P}^1\times\mathbb{P}^1$?

Published on 11 Jan 2015 - 5:38

List Question

Strong Seperation between hypreplane and an affine subspace

Shortest distance between two affine subspaces through orthogonal projection

Dominant rational maps and dimension of affine varieties

Rotate and Scale Around Different Origins using Local Coordinates

Why is maximum number of joints of 6 lines is 4?

Canonical isomorphism between tangent space and translation vector space of affine space

Let $M_1$ and $M_2$ be affine subspaces of $\Bbb R^n$ with $M_1 \cap M_2 \neq \emptyset$ and $\dim(M_1 \cap M_2)=\dim(M_1)$. Then $M_1 \subset M_2$.

If $M_1 \cup M_2 $ is a hyperplane in $\mathbb{R}^n$ then $M_1 = M_2$.

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

Every reflection is an isometry proof

How to define an affine transformation using 2 triangles?

Intersections of convex hulls

Is it possible, to create a affine transformation matrix, from a function?

Affine transformation invariants and lie groups

Is $\mathbb{A}^1\times\mathbb{P}^1\cong\mathbb{P}^1\times\mathbb{P}^1$?

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