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

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.

preprint2020arXivOpen access
David Rydh
math.AG
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David Rydh

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