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Classification of affine homogeneous spaces of complexity one

Ivan V. Arzhantsev·Olga V. Chuvashova
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Abstract

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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Ivan V. Arzhantsev, Olga V. Chuvashova. 2004-08-08. Classification of affine homogeneous spaces of complexity one. https://doi.org/10.1070/sm2004v195n06abeh000819

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