English

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

Algebraic Geometry 2020-08-26 v1

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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Cite

@article{arxiv.2008.11118,
  title  = {A generalization of Luna's fundamental lemma for stacks with good moduli spaces},
  author = {David Rydh},
  journal= {arXiv preprint arXiv:2008.11118},
  year   = {2020}
}

Comments

21 pages