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On affinely closed homogeneous spaces

Ivan V. Arzhantsev·Natalia A. Tennova
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Abstract

Affinely closed homogeneous spaces G/H, i.e., affine homogeneous spaces that admit only the trivial affine embedding, are characterized for any affine algebraic group G. As a corollary, a description of affine G-algebras with finitely generated invariant subalgebras is obtained.

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Ivan V. Arzhantsev, Natalia A. Tennova. 2004-06-24. On affinely closed homogeneous spaces. https://arxiv.org/abs/math/0406493

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