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Results tagged with algebraic-groups
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user 1784
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.
4
votes
Accepted
Automorphism group of bi-elliptic surface
The answer is always "no". By classification, a bielliptic surface over $\mathbb C$ has the form $(E\times F)/G$ where $E,F$ are elliptic curves, $G=\subset Aut(E,0)$ is an abelian group acting by com …
- 13.1k
9
votes
Is an algebraic space group always a scheme?
Over a field, the reference is indeed "Algebraization of formal moduli, I".
Over a base more general than a field, the answer may be no. For example, Artin proved in "Algebraization of formal moduli, …
- 13.1k