A generalization of Luna's fundamental lemma for stacks with good moduli spaces

Published 25 Aug 2020 in math.AG | (2008.11118v1)

Abstract: We generalize Luna's fundamental lemma to smooth morphisms between stacks with good moduli spaces. We also give a precise condition for when it holds for non-smooth morphisms and versions for coherent sheaves and complexes. This generalizes earlier results by Alper, Abramovich--Temkin, Edidin and Nevins.

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Authors (1)

David Rydh

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