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.
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.
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.
| 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: | 24 Sep 2019 16:16 |
| Publisher: | Wiley-Blackwell Publishing, Inc. |
| 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 |
| OA Status: | Green |
| 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 |
Kresch, A