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arXiv · 1701.00643

Real geometric invariant theory

Christoph Böhm·Ramiro A. Lafuente
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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.

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Christoph Böhm, Ramiro A. Lafuente. 2017-01-03. Real geometric invariant theory. https://arxiv.org/abs/1701.00643

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