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Results tagged with group-schemes
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user 4008
21
votes
Automorphism group of a scheme
The automorphism group functor is not representable in general. Consider for instance the case of an algebraically closed field $k$ and $\mathbf A^2=\mathrm{Spec}\ k[x,y]$. Assume the automorphism gro …
- 22.6k
7
votes
Accepted
Cartier dual of \alpha_p
It is probably a bad idea to try to compute the Cartier dual but better to let
Cartier do that for you... If $G$ is a flat commutative finite group scheme with
affine algebra, the commutative and coco …
- 22.6k
1
vote
Smooth linear algebraic groups over the dual numbers
I don't understand why the usual proof over a field base doesn't work over a
(local) artinian base $R$ for a flat finite type group scheme over $R$: Let $A$
be the affine algebra of $G$. Take any basi …