English

Local properties of good moduli spaces

Algebraic Geometry 2012-03-14 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0904.3358,
  title  = {Local properties of good moduli spaces},
  author = {Jarod Alper},
  journal= {arXiv preprint arXiv:0904.3358},
  year   = {2012}
}

Comments

20 pages, this version agrees with the published version

R2 v1 2026-06-21T12:53:47.729Z