论文标题

露娜(Luna

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

论文作者

Rydh, David

论文摘要

我们将Luna的基本引理推广到具有良好模量空间的堆栈之间的平滑形态。我们还提供了确切的条件,以适用于相干滑轮和复合物的非平滑形态和版本。这概括了Alper,Abramovich-Temkin,Edidin和Nevins的早期结果。

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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