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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.

5 votes

Applications of non-reductive GIT

This isn't really an answer, but I think it will help point in a useful direction. In case it's already obvious to you, please disregard. :-) In linear algebra we classify $n\times n$ matrices up to …
Thomas Nevins's user avatar