Quotients by Groupoids
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We show that if a flat group scheme acts properly, with finite stabilizers, on an algebraic space, then a quotient exists as a separated algebraic space. More generally we show any flat groupid for which the family of stabilizers is finite has a uniform geometric, uniform categorical quotient in the category of algebraic spaces. Our argument is elementary and essentially self contained.
Keywords
Cite
@article{arxiv.alg-geom/9508012,
title = {Quotients by Groupoids},
author = {Sean Keel and Shigefumi Mori},
journal= {arXiv preprint arXiv:alg-geom/9508012},
year = {2008}
}
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