List questions from affine-varieties

Published on 07 May 2019 - 7:41

223

Views

Does isomorphism of affine varieties preserve closed sets and open sets?

Published on 07 May 2019 - 9:17

44

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Why is $ \mathbb{K}[X] \otimes_{\mathbb{K}} \mathbb{K}[Y] \longrightarrow \mathbb{K}[X \times Y] $ surjective?

Published on 07 May 2019 - 9:27

73

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Kernel of a morphism of affine varieties is closed?

Published on 10 May 2019 - 8:48

539

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fiber product of affine varieties is associative?

Published on 15 May 2019 - 20:42

118

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Is fiber product of two affine varieties the same as Cartesian product as sets?

Published on 17 May 2019 - 8:43

43

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Characterization: Automorphisms of $\mathbb{A}_{\mathbb{C}}^n$

Published on 23 May 2019 - 12:30

368

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How does an affine algebraic group become a group scheme?

Published on 23 May 2019 - 14:48

64

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What is needed to arrive at Bézout's theorem in Algebraic Geometry?

Published on 25 May 2019 - 22:46

122

Views

Questions related to the definition of action of algebraic group $G$ that is locally algebraic

Published on 27 May 2019 - 8:43

63

Views

Does $k[X]$ always have a countable basis? ($X$ is an affine variety)

Published on 27 May 2019 - 8:46

192

Views

Question about motivation for upgrading varieties to schemes (nilpotency)

Published on 31 May 2019 - 17:33

123

Views

Projective variety $V_p(x^2 y - z^3)$ is singular

Published on 02 Jun 2019 - 9:16

659

Views

Definition of the Fibre of a Sheaf

Published on 04 Jun 2019 - 17:39

699

Views

Upper Semi-Continuity of the Rank of the Fibre of a Sheaf

Published on 05 Jun 2019 - 18:37

List Question

Simple question about affine varieties and coordinate rings

Does isomorphism of affine varieties preserve closed sets and open sets?

Why is $ \mathbb{K}[X] \otimes_{\mathbb{K}} \mathbb{K}[Y] \longrightarrow \mathbb{K}[X \times Y] $ surjective?

Kernel of a morphism of affine varieties is closed?

fiber product of affine varieties is associative?

Is fiber product of two affine varieties the same as Cartesian product as sets?

Characterization: Automorphisms of $\mathbb{A}_{\mathbb{C}}^n$

How does an affine algebraic group become a group scheme?

What is needed to arrive at Bézout's theorem in Algebraic Geometry?

Questions related to the definition of action of algebraic group $G$ that is locally algebraic

Does $k[X]$ always have a countable basis? ($X$ is an affine variety)

Question about motivation for upgrading varieties to schemes (nilpotency)

Projective variety $V_p(x^2 y - z^3)$ is singular

Definition of the Fibre of a Sheaf

Upper Semi-Continuity of the Rank of the Fibre of a Sheaf

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