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Kresch, A (2009). On the geometry of Deligne-Mumford stacks. In: Abramovich, D; Bertram, A; Katzarkov, L; Pandharipande, R; Thaddeus, M. Algebraic Geometry: Seattle 2005. Providence, Rhode Island: American Mathematical Society, 259-271.
General structure results about Deligne–Mumford stacks are summarized, applicable to stacks of finite type over a field. When the base field has characteristic 0, a class of “(quasi-)projective” Deligne–Mumford stacks is identified,
defined to be those that embed as a (locally) closed substack of a smooth proper Deligne–Mumford stack having projective coarse moduli space. These conditions are shown to be equivalent to some well-studied hypotheses.
| Item Type: | Book Section, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2009 |
| Deposited On: | 16 Nov 2009 19:37 |
| Last Modified: | 26 Jun 2022 22:18 |
| Publisher: | American Mathematical Society |
| Series Name: | Proceedings of symposia in pure mathematics |
| Number: | 80,1 |
| ISSN: | 0082-0717 |
| ISBN: | 978-0-8218-4702-2 |
| Additional Information: | Algebraic Geometry, Seattle 2005 : 2005 Summer Research Institute, July 25-August 12, 2005, University of Washington, Seattle |
| OA Status: | Green |
| Official URL: | http://www.ams.org/bookstore-getitem/item=PSPUM-80-1 |
Kresch, A