Real geometric invariant theory

2017/01/03 by Böhm, Christoph, Lafuente, Ramiro A. · 1 citation
#14L24 #22E45 #57S20 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1701.00643

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.

Cited by

• Positive Hermitian curvature flow on 2-step nilpotent Lie groups

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