Moduli space of pairs over projective stacks
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Andreini, Elena | |
| dc.contributor.department | Mathematical Physics | en_US |
| dc.date.accessioned | 2012-01-23T16:10:05Z | |
| dc.date.available | 2012-01-23T16:10:05Z | |
| dc.date.issued | 2011-05-27 | |
| dc.description.abstract | Let $\clX$ a projective stack over an algebraically closed field $k$ of characteristic 0. Let $\clE$ be a generating sheaf over $\clX$ and $\clO_X(1)$ a polarization of its coarse moduli space $X$. We define a notion of pair which is the datum of a non vanishing morphism $\Gamma\otimes\clE\to \clF$ where $\Gamma$ is a finite dimensional $k$ vector space and $\clF$ is a coherent sheaf over $\clX$. We construct the stack and the moduli space of semistable pairs. The notion of semistability depends on a polynomial parameter and it is dictated by the GIT construction of the moduli space. | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/5263 | |
| dc.language.iso | en | en_US |
| dc.miur.area | 1 | en_US |
| dc.publisher | SISSA | en_US |
| dc.relation.ispartofseries | arXiv:1105.5637v1; | |
| dc.subject.miur | MAT/03 GEOMETRIA | |
| dc.title | Moduli space of pairs over projective stacks | en_US |
| dc.type | Preprint | en_US |
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