Hodge polynomials of the moduli spaces of triples of rank (2,2).
| dc.contributor.author | Muñoz, Vicente | |
| dc.contributor.author | Ortega, Daniel | |
| dc.contributor.author | Vázquez Gallo, M. Jesús | |
| dc.date.accessioned | 2023-06-20T10:34:15Z | |
| dc.date.available | 2023-06-20T10:34:15Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | Let X be a smooth projective curve of genus g ≥ 2 over the complex numbers. A holomorphic triple (E1, E2, φ) on X consists of two holomorphic vector bundles E1 and E2 over X and a holomorphic map φ: E2 → E1. There is a concept of stability for triples which depends on a real parameter σ. In this paper, we determine the Hodge polynomials of the moduli spaces of σ-stable triples with rk(E1) = rk(E2) = 2, using the theory of mixed Hodge structures (in the cases that they are smooth and compact). This gives in particular the Poincar´e polynomials of these moduli spaces. As a byproduct, we also give the Hodge polynomial of the moduli space of even degree rank 2 stable vector bundles. | |
| 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/20887 | |
| dc.identifier.doi | 10.1093/qmath/han007 | |
| dc.identifier.issn | 0033-5606 | |
| dc.identifier.officialurl | http://qjmath.oxfordjournals.org/content/60/2/235 | |
| dc.identifier.relatedurl | http://arxiv.org/pdf/math/0701642v1.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50580 | |
| dc.issue.number | 2 | |
| dc.journal.title | Quarterly Journal of Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 272 | |
| dc.page.initial | 235 | |
| dc.publisher | Oxford University Press | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Moduli space | |
| dc.subject.keyword | Complex curve | |
| dc.subject.keyword | Stable triple | |
| dc.subject.keyword | Hodge polynomial. | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Hodge polynomials of the moduli spaces of triples of rank (2,2). | |
| dc.type | journal article | |
| dc.volume.number | 60 | |
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| dspace.entity.type | Publication |
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