On coverings of Deligne-Mumford stacks and surjectivity of the Brauer map

Details On coverings of Deligne-Mumford stacks and surjectivity of the Brauer map On coverings of Deligne-Mumford stacks and surjectivity of the Brauer map

2003-01-22

arxiv.org/abs/math/0301249v1

Mathematics

Algebraic Geometry

LaTeX, 7 pages

Scientific paper

This paper proves a result on the existence of finite flat scheme covers of
Deligne-Mumford stacks. This result is used to prove that a large class of
smooth Deligne-Mumford stacks with affine moduli space are quotient stacks, and
in the case of quasi-projective moduli space, to reduce the question to one
concerning Brauer groups of schemes.

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