List questions from affine-varieties

Published on 08 Jun 2019 - 14:10

185

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Clopen sets in affine space

Published on 10 Jun 2019 - 0:33

167

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Going from varieties to schemes

Published on 25 Mar 2026 - 12:23

98

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Algebraic de Rham cohomology of the affine plane in characteristic p?

Published on 25 Mar 2026 - 7:16

57

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Showing the following subset is an affine variety

Published on 17 Jun 2019 - 12:02

489

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Schemes and Varieties

Published on 25 Mar 2026 - 12:52

50

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Is a Locally Affine Ringed Space Noetherian?

Published on 25 Jun 2019 - 2:58

117

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Irreducible algebraic sets vs varieties

Published on 30 Jun 2019 - 14:41

205

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Let $I=(y^2-x^2,y^2+x^2)$. Find $V(I)$ and $\text{dim}_{\mathbb{C}}(\mathbb{C}[x,y]/I)$

Published on 04 Jul 2019 - 21:22

69

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$S(X)\simeq S(Y) \Leftrightarrow X\simeq Y$?

Published on 13 Jul 2019 - 12:17

161

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Bijection: Morphisms of algebraic sets and morphisms of coordinate rings

Published on 15 Jul 2019 - 0:13

109

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Regular functions on affine varieties

Published on 15 Jul 2019 - 12:36

647

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A variety $X$ is irreducible $\iff I(X)$ is prime

Published on 17 Jul 2019 - 19:07

133

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Suppose $ g$ has the property that if $f(x)≠0$, then $g(x)=0$. Then prove that $g(x)=0$ for all $x$.

Published on 25 Mar 2026 - 10:58

148

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Dimension of Intersection of Algebraic Sets

Published on 20 Jul 2019 - 3:05

List Question

Image of rational points of a morphism (defined over $\mathbb{Q}$) between affine spaces

Clopen sets in affine space

Going from varieties to schemes

Algebraic de Rham cohomology of the affine plane in characteristic p?

Showing the following subset is an affine variety

Schemes and Varieties

Is a Locally Affine Ringed Space Noetherian?

Irreducible algebraic sets vs varieties

Let $I=(y^2-x^2,y^2+x^2)$. Find $V(I)$ and $\text{dim}_{\mathbb{C}}(\mathbb{C}[x,y]/I)$

$S(X)\simeq S(Y) \Leftrightarrow X\simeq Y$?

Bijection: Morphisms of algebraic sets and morphisms of coordinate rings

Regular functions on affine varieties

A variety $X$ is irreducible $\iff I(X)$ is prime

Suppose $ g$ has the property that if $f(x)≠0$, then $g(x)=0$. Then prove that $g(x)=0$ for all $x$.

Dimension of Intersection of Algebraic Sets

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