Moduli spaces of framed sheaves on certain ruled surfaces over elliptic curves
| dc.creator | Nevins, Thomas A. | |
| dc.date | 2000-08-25 | |
| dc.date.accessioned | 2026-07-07T04:36:59Z | |
| dc.date.available | 2026-07-07T04:36:59Z | |
| dc.description | Fix a ruled surface S obtained as the projective completion of a line bundle L on a complex elliptic curve; we study the moduli problem of parametrizing certain pairs consisting of a sheaf E on S and a map of E to a fixed reference sheaf on S. We prove that the full moduli stack for this problem is representable by a scheme in some cases. Moreover, the moduli stack admits an action by the group ${\mathbf C}^*$, and we determine its fixed-point set, which leads in some special cases to explicit formulas for the rational homology of the moduli space. | |
| dc.description | 38 pages, AMSLaTeX, also available at http://www.math.lsa.umich.edu/~nevins/ | |
| dc.identifier | https://arxiv.org/abs/math/0008198 | |
| dc.identifier | http://arxiv.org/abs/math/0008198 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59800 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20 (Primary) 14F25 (Secondary) | |
| dc.title | Moduli spaces of framed sheaves on certain ruled surfaces over elliptic curves | |
| dc.type | text |