The 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 a classical question on Brauer groups of schemes.

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

VISTOLI, ANGELO
2004

Abstract

The 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 a classical question on Brauer groups of schemes.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/7254
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