%0 Journal Article %A Muñoz, Vicente %A Ortega, Daniel %A Vázquez Gallo, M. Jesús %T Hodge polynomials of the moduli spaces of pairs. %D 2007 %@ 0129-167X %U https://hdl.handle.net/20.500.14352/50592 %X 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. %~