Classification of affine homogeneous spaces of complexity one

Details Classification of affine homogeneous spaces of complexity one Classification of affine homogeneous spaces of complexity one

2004-08-08

arxiv.org/abs/math/0408101v1

Mat. Sb. 195:6 (2004), 3--20; translation in Sbornik Math. 195 (2004), no. 5-6, 765--782

Mathematics

Algebraic Geometry

22 pages, 7 tables

Scientific paper

The complexity of an action of a reductive algebraic group G on an algebraic
variety X is the codimension of a generic B-orbit in X, where B is a Borel
subgroup of G. We classify affine homogeneous spaces G/H of complexity one.
These results are the natural continuation of the classification of spherical
affine homogeneous spaces, i.e., spaces of complexity zero.

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