List questions from group-schemes

Published on 05 Oct 2020 - 12:16

114

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Kernel of surjective map from rank two module is free and rank 1.

Published on 12 Oct 2020 - 14:57

139

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Homomorphisms of a Semidirect Product

Published on 25 Oct 2020 - 23:12

166

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Intersection of two affine algebraic groups is not an affine algebraic group

Published on 27 Oct 2020 - 4:02

129

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False duality of diagonalizable/constant group scheme?

Published on 30 Oct 2020 - 22:21

85

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Fpqc-locally constant if and only if étale-locally constant?

Published on 25 Mar 2026 - 11:13

637

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maximal torus and semisimple elements

Published on 17 Dec 2020 - 16:18

124

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Prove that $\Delta(x) = x \otimes1 + 1 \otimes x$ mod $I \otimes I $ for all $x \in I$.

Published on 22 Dec 2020 - 19:53

93

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Categorization of Group Scheme of rank 2

Published on 24 Dec 2020 - 7:12

111

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Exercise 2.11 of Waterhouse about Hopf algebra

Published on 25 Dec 2020 - 17:12

199

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Specializing group scheme embedding

Published on 05 Jan 2021 - 15:00

146

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Questions about intersection of algebraic subgroups

Published on 11 Jan 2021 - 9:57

383

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Finite groups schemes over a field are killed by the order

Published on 13 Jan 2021 - 13:56

116

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If $M$ is an $R$-module, when is $A\mapsto Aut(M\otimes_{R}A)$ a representable functor?

Published on 26 Mar 2026 - 2:51

45

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Is the unit section of a finite flat commutative group scheme determined by sending group-like elements to 1?

Published on 05 Apr 2021 - 10:27

List Question

very basic question about definition of constant group scheme

Kernel of surjective map from rank two module is free and rank 1.

Homomorphisms of a Semidirect Product

Intersection of two affine algebraic groups is not an affine algebraic group

False duality of diagonalizable/constant group scheme?

Fpqc-locally constant if and only if étale-locally constant?

maximal torus and semisimple elements

Prove that $\Delta(x) = x \otimes1 + 1 \otimes x$ mod $I \otimes I $ for all $x \in I$.

Categorization of Group Scheme of rank 2

Exercise 2.11 of Waterhouse about Hopf algebra

Specializing group scheme embedding

Questions about intersection of algebraic subgroups

Finite groups schemes over a field are killed by the order

If $M$ is an $R$-module, when is $A\mapsto Aut(M\otimes_{R}A)$ a representable functor?

Is the unit section of a finite flat commutative group scheme determined by sending group-like elements to 1?

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