On affinely closed homogeneous spaces

Mathematics – Algebraic Geometry

Scientific paper

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9 pages

Scientific paper

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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