Hodge polynomials of the moduli spaces of pairs.
Let X be a smooth projective curve of genus g ≥ 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 ∈ H0(E) is a holomorphic section. In this paper, we determine the Hodge polynomials of the moduli spaces of rank...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/50592 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/50592 |
| Access Level: | acceso abierto |
| Palavra-chave: | 512.7 Moduli space Complex curve Vector bundle Stable triple Hodge numbers Geometria algebraica 1201.01 Geometría Algebraica |
| Resumo: | Let X be a smooth projective curve of genus g ≥ 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 ∈ H0(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. |
|---|