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arXiv · 2008.11118

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

David Rydh
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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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David Rydh. 2020-08-25. A generalization of Luna's fundamental lemma for stacks with good moduli spaces. https://arxiv.org/abs/2008.11118

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