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Results tagged with group-schemes
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user 3927
48
votes
6
answers
5k
views
Smooth linear algebraic groups over the dual numbers
It is a standard and important fact that any smooth affine group scheme $G$ over a field $k$ is a closed $k$-subgroup of ${\rm{GL}}_n$ for some $n > 0$. (Smoothness can be relaxed to finite type, but …
10
votes
Accepted
components of E[p], E universal in char p.
Speaking of "connected components" is a delicate thing since you really mean in a relative sense, and more specifically the etale quotient $H$ can have its open and closed non-identity part with very …
- 7,108
48
votes
Example of connected-etale sequence for group schemes over a Henselian field?
For concepts related to algebraic geometry when the base is not a field, it can be difficult for a beginner to reconcile the approach in Silverman with the approach via schemes. I wasted a lot of time …
- 7,108