Hodge polynomials of the moduli spaces of triples of rank (2,2)
| dc.creator | Muñoz, V. | |
| dc.creator | Ortega, D. | |
| dc.creator | Vázquez-Gallo, M. J. | |
| dc.date | 2007-01-23 | |
| dc.date.accessioned | 2026-07-07T07:42:40Z | |
| dc.date.available | 2026-07-07T07:42:40Z | |
| dc.description | Let $X$ be a smooth projective curve of genus $g\geq 2$ over the complex numbers. A holomorphic triple $(E_1,E_2,ϕ)$ on $X$ consists of two holomorphic vector bundles $E_{1}$ and $E_{2}$ over $X$ and a holomorphic map $ϕ\colon E_{2} \to E_{1}$. There is a concept of stability for triples which depends on a real parameter $σ$. In this paper, we determine the Hodge polynomials of the moduli spaces of $σ$-stable triples with $\mathrm{rk}(E_1)=\mathrm{rk}(E_2)=2$, using the theory of mixed Hodge structures (in the cases that they are smooth and compact). This gives in particular the Poincar{é} polynomials of these moduli spaces. As a byproduct, we also give the Hodge polynomial of the moduli space of even degree rank 2 stable vector bundles. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701642 | |
| dc.identifier | http://arxiv.org/abs/math/0701642 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122527 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F45; 14D20; 14H60 | |
| dc.title | Hodge polynomials of the moduli spaces of triples of rank (2,2) | |
| dc.type | text |