Affine embeddings of a reductive group

Details Affine embeddings of a reductive group Affine embeddings of a reductive group

2010-12-17

arxiv.org/abs/1012.3967v1

Mathematics

Algebraic Geometry

21 pages

Scientific paper

We classify affine varieties with an action of a connected, reductive algebraic group such that the group is isomorphic to an open orbit in the variety. This is accomplished by associating a set of one-parameter subgroups of the group to the variety, characterizing such sets, and proving that sets of this type correspond to affine embeddings of the group. Applications of this classification to the existence of morphisms are then given.

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