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...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2007 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/50592 |
| Online Access: | https://hdl.handle.net/20.500.14352/50592 |
| Access Level: | Open access |
| Keyword: | 512.7 Moduli space Complex curve Vector bundle Stable triple Hodge numbers Geometria algebraica 1201.01 Geometría Algebraica |
| Summary: | 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. |
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