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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.

1 vote
Accepted

How to make commutative algebraic groups strongly dualizable?

Since Ilya asked I'll write out in a bit more detail the case of finitely generated abelian groups. There is not (as far as I know) any reasonable notion of strong duality on the abelian category of f …
Greg Stevenson's user avatar
3 votes

Quotients of Schemes by Free Group Actions

To answer (in one case) the particular question it is always true for linear algebraic groups that the orbit space of a closed subgroup is a scheme, and it will also be a linear algebraic group provid …
Greg Stevenson's user avatar