Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Nironi, Fabio | en_US |
| dc.contributor.department | Mathematical Physics | en_US |
| dc.date.accessioned | 2008-11-17T11:53:59Z | en_US |
| dc.date.accessioned | 2011-09-07T20:22:25Z | |
| dc.date.available | 2008-11-17T11:53:59Z | en_US |
| dc.date.available | 2011-09-07T20:22:25Z | |
| dc.date.issued | 2008-11-17T11:53:59Z | en_US |
| dc.description.abstract | We introduce a notion of Gieseker stability for coherent sheaves on tame Deligne-Mumford stacks with projective moduli scheme and some chosen generating sheaf on the stack in the sense of Olsson and Starr \cite{MR2007396}. We prove that this stability condition is open, and pure dimensional semistable sheaves form a bounded family. We explicitly construct the moduli stack of semistable sheaves as a finite type global quotient, and study the moduli scheme of stable sheaves and its natural compactification in the same spirit as the seminal paper of Simpson \cite{MR1307297}. With this general machinery we are able to retrieve, as special cases, results of Lieblich \cite{MR2309155} and Yoshioka \cite{MR2306170} about moduli of twisted sheaves and parabolic stability introduced by Maruyama-Yokogawa in \cite{MR1162674}. | en_US |
| dc.format.extent | 605517 bytes | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/3287 | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | SISSA;69/2008/FM | en_US |
| dc.relation.ispartofseries | arXiv.org;0811.1949 | en_US |
| dc.title | Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks | en_US |
| dc.type | Preprint | en_US |