Local properties of good moduli spaces

Details Local properties of good moduli spaces Local properties of good moduli spaces

2009-04-21

arxiv.org/abs/0904.3358v2

Tohoku Math J., 64 (2012), 105-123

Mathematics

Algebraic Geometry

20 pages, this version agrees with the published version

Scientific paper

We study the local properties of Artin stacks and their good moduli spaces,
if they exist. We show that near closed points with linearly reductive
stabilizer, Artin stacks formally locally admit good moduli spaces. We also
give conditions for when the existence of good moduli spaces can be deduced
from the existence of etale charts admitting good moduli spaces.

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