Quotients by Groupoids

Details Quotients by Groupoids Quotients by Groupoids

1995-08-25

arxiv.org/abs/alg-geom/9508012v1

Mathematics

Algebraic Geometry

AMSTeX

Scientific paper

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.

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