List questions from affine-geometry

Published on 15 Aug 2021 - 15:20

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Automorphisms of Affine space $\mathbb R^2$ under additive structure is $GL(2,R)$

Published on 16 Aug 2021 - 1:32

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Local fundamental theorem of affine geometry

Published on 30 Mar 2026 - 1:51

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Dimension of the set of affine continuous functions

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Calculating the intersection of two affine subspaces

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What is an Affine Span?

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Equivalence of definitions of collineations.

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Why is for an open subset $U\subset X$ of a variety the field of rational functions equal, i.e. $\mathbb{C}(U)=\mathbb{C}(X)$?

Published on 25 Mar 2026 - 17:33

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Proving two affine varieties are equal

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Bijective function on affine space sends coplanar lines to coplanar lines

Published on 21 Sep 2021 - 13:18

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Finding the equation of the remaining hyperplane

Published on 21 Sep 2021 - 19:47

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Prove that $x + V$ is an affine subspace of $X$, where $V\subset T$ is a subspace (Dodson & Poston)

Published on 25 Sep 2021 - 13:52

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Exercise: Two lines intersect at $O$. If $p_1,q_1$ lie in the first line, and $p_2,q_2$ in the second, when is $p_1p_2$ parallel to $q_1q_2$?

Published on 04 Oct 2021 - 13:47

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Parametrization and Affine Varieties

Published on 27 Mar 2026 - 20:19

231

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Are affine linear subspaces linear subspaces?

Published on 08 Oct 2021 - 23:47

List Question

Sections of projective bundles over the projective plane

Automorphisms of Affine space $\mathbb R^2$ under additive structure is $GL(2,R)$

Local fundamental theorem of affine geometry

Dimension of the set of affine continuous functions

Calculating the intersection of two affine subspaces

What is an Affine Span?

Equivalence of definitions of collineations.

Why is for an open subset $U\subset X$ of a variety the field of rational functions equal, i.e. $\mathbb{C}(U)=\mathbb{C}(X)$?

Proving two affine varieties are equal

Bijective function on affine space sends coplanar lines to coplanar lines

Finding the equation of the remaining hyperplane

Prove that $x + V$ is an affine subspace of $X$, where $V\subset T$ is a subspace (Dodson & Poston)

Exercise: Two lines intersect at $O$. If $p_1,q_1$ lie in the first line, and $p_2,q_2$ in the second, when is $p_1p_2$ parallel to $q_1q_2$?

Parametrization and Affine Varieties

Are affine linear subspaces linear subspaces?

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