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Results tagged with algebraic-groups
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user 115211
Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.
11
votes
Accepted
Picard group of connected linear algebraic group
$\DeclareMathOperator\Pic{Pic}$The statement is false over most imperfect fields, even for smooth affine group schemes.
In particular, it is false over any separably closed imperfect field $k$. I will …
- 2,841
8
votes
Accepted
Finite subgroup scheme and Neron model of an abelian variety
In general the scheme $\mathcal A[l]_{\mathcal O}$ is not finite because of the following lemma.
Let $f:X\to Y$ be a separated quasi-finite flat morphism of noetherian schemes. Then it is finite …
- 2,841