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


Kresch, A; Vistoli, A (2004). On coverings of Deligne-Mumford stacks and surjectivity of the Brauer map. Bulletin of the London Mathematical Society, 36(2):188-192.

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.

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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:quotient stack; Azumaya Brauer group
Language:English
Date:2004
Deposited On:29 Nov 2010 16:26
Last Modified:06 Dec 2017 20:48
Publisher:Oxford University Press
ISSN:0024-6093
Additional Information:This is a pre-copy-editing, author-produced PDF of an article accepted for publication in "The Bulletin of the London Mathematical Society" following peer review. The definitive publisher-authenticated version [Bull. London Math. Soc. 36 (2004), no. 2, 188–192] is available online at: http://blms.oxfordjournals.org/content/36/2/188
Publisher DOI:https://doi.org/10.1112/S0024609303002728
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2026412
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1062.14004

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