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Real geometric invariant theory
Published 3 Jan 2017 in math.DG, math.AG, and math.RT | (1701.00643v3)
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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