### Impacto

### Downloads

Downloads per month over past year

Muñoz, Vicente and Ortega, Daniel and Vázquez Gallo, M. Jesús
(2007)
*Hodge polynomials of the moduli spaces of pairs.*
International journal of mathematics, 18
(6).
pp. 695-721.
ISSN 0129-167X

Preview |
PDF
334kB |

Official URL: http://www.worldscientific.com/doi/abs/10.1142/S0129167X07004266

## Abstract

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.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Moduli space; Complex curve; Vector bundle; Stable triple; Hodge numbers |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 21038 |

Deposited On: | 24 Apr 2013 14:10 |

Last Modified: | 12 Dec 2018 15:13 |

### Origin of downloads

Repository Staff Only: item control page