Hodge polynomials of the moduli spaces of pairs.
| dc.contributor.author | Muñoz, Vicente | |
| dc.contributor.author | Ortega, Daniel | |
| dc.contributor.author | Vázquez Gallo, M. Jesús | |
| dc.date.accessioned | 2023-06-20T10:34:22Z | |
| dc.date.available | 2023-06-20T10:34:22Z | |
| dc.date.issued | 2007 | |
| dc.description.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. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21038 | |
| dc.identifier.doi | 10.1142/S0129167X07004266 | |
| dc.identifier.issn | 0129-167X | |
| dc.identifier.officialurl | http://www.worldscientific.com/doi/abs/10.1142/S0129167X07004266 | |
| dc.identifier.relatedurl | http://www.worldscientific.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50592 | |
| dc.issue.number | 6 | |
| dc.journal.title | International journal of mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 721 | |
| dc.page.initial | 695 | |
| dc.publisher | World Scientific | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Moduli space | |
| dc.subject.keyword | Complex curve | |
| dc.subject.keyword | Vector bundle | |
| dc.subject.keyword | Stable triple | |
| dc.subject.keyword | Hodge numbers | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Hodge polynomials of the moduli spaces of pairs. | |
| dc.type | journal article | |
| dc.volume.number | 18 | |
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| dspace.entity.type | Publication |
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