Real geometric invariant theory

Abstract

For linear actions of real reductive Lie groups we prove the Kempf-Ness Theorem about closed orbits and the Kirwan-Ness Stratification Theorem of the null cone. Since our completely self-contained proof focuses strongly on geometric and analytic methods, essentially avoiding any deep algebraic result, it applies also to non-rational linear actions.

23 pages; v2: sections were completely reorganised, some proofs were rewritten and several typos fixed; v3: Fixed proof of Prop. 8.3, added Cor. 9.3, and some minor changes

Cited by in corpus (1)

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