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

2020/08/25 by David Rydh, Rydh, David
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.2008.11118

Abstract

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

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