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ON COVERINGS OF DELIGNE–MUMFORD STACKS AND SURJECTIVITY OF THE BRAUER MAP

Published online by Cambridge University Press:  02 February 2004

ANDREW KRESCH  and
ANGELO VISTOLI
ANDREW KRESCH
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104, U.S.A.kresch@math.upenn.edu
ANGELO VISTOLI
Affiliation:
Dipartimento di Matematica, Università di Bologna, 40126 Bologna, Italyvistoli@dm.unibo.it
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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.Research of the first author supported in part by the Wolfgang Paul program of the Humboldt Foundation; research of the second author supported in part by the University of Bologna, funds for selected research topics.

Keywords

14A20 (primary)14F2214L30 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 2 , March 2004 , pp. 188 - 192
Copyright
© The London Mathematical Society 2004

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