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On conjugacy of stabilizers of reductive group actions

Published 29 Jan 2019 in math.AG and math.GR | (1901.10858v1)

Abstract: It is shown that the main result of N. R. Wallach, Principal orbit type theorems for reductive algebraic group actions and the Kempf--Ness Theorem, arXiv:1811.07195v1 (17 Nov 2018) is a special case of a more general statement, which can be deduced, using a short argument, from the classical Richardson and Luna theorems.

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