Monads for torsion-free sheaves on multi-blow-ups of the projective plane
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Henni, Abdelmoubine Amar | en_US |
| dc.contributor.department | Mathematical Physics | en_US |
| dc.date.accessioned | 2009-03-25T13:16:40Z | en_US |
| dc.date.accessioned | 2011-09-07T20:20:34Z | |
| dc.date.available | 2009-03-25T13:16:40Z | en_US |
| dc.date.available | 2011-09-07T20:20:34Z | |
| dc.date.issued | 2009-03-25T13:16:40Z | en_US |
| dc.description | Algebraic Geometry | en_US |
| dc.description.abstract | We construct monads for framed torsion-free sheaves with fixed Chern character on the multi-blow-ups of the complex projective plane. Using these monads we prove that the moduli space of such sheaves is a smooth algebraic variety. Moreover we construct monads for families of such sheaves parametrized by a reduced noetherian scheme $S$ of finite type. A universal monad on the moduli space is introduced and used to prove that the moduli space is fine. | en_US |
| dc.format.extent | 344727 bytes | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/3602 | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | SISSA;15/2009/FM | en_US |
| dc.relation.ispartofseries | arXiv.org;0903.3190 | en_US |
| dc.title | Monads for torsion-free sheaves on multi-blow-ups of the projective plane | en_US |
| dc.type | Preprint | en_US |