Hodge polynomials of the moduli spaces of pairs
| dc.creator | Muñoz, V. | |
| dc.creator | Ortega, D. | |
| dc.creator | Vázquez-Gallo, M. J. | |
| dc.date | 2006-06-27 | |
| dc.date | 2006-08-31 | |
| dc.date.accessioned | 2026-07-07T07:17:43Z | |
| dc.date.available | 2026-07-07T07:17:43Z | |
| dc.description | Let $X$ be a smooth projective curve of genus $g\geq 2$ over the complex numbers. A holomorphic pair on $X$ is a couple $(E,ϕ)$, where $E$ is a holomorphic bundle over $X$ of rank $n$ and degree $d$, and $ϕ\in H^0(E)$ is a holomorphic section. In this paper, we determine the Hodge polynomials of the moduli spaces of rank 2 pairs, using the theory of mixed Hodge structures. We also deal with the case in which $E$ has fixed determinant. | |
| dc.description | 23 pages, typos added, minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0606676 | |
| dc.identifier | http://arxiv.org/abs/math/0606676 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114043 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F45 (Primary), 14D20, 14H60 (Secondary) | |
| dc.title | Hodge polynomials of the moduli spaces of pairs | |
| dc.type | text |