Remarks on Higgs bundles twisted by a vector bundle
| dc.contributor.author | Alfaya Sánchez, David | es-ES |
| dc.date.accessioned | 2026-05-05T04:27:56Z | |
| dc.date.available | 2026-05-05T04:27:56Z | |
| dc.date.issued | 2026-08-01 | |
| dc.description | Artículos en revistas | |
| dc.description.abstract | For any V-twisted Higgs bundle on a compact connected Riemann surface X, where V is a holomorphic vector bundle of rank two over X, there are two associated Higgs bundles on X, twisted by line bundles, which are constructed using a Hecke transformation on V. We characterize all such pairs of Higgs bundles (twisted by line bundles) given by the V-twisted Higgs bundles. Using this characterization, we provide a spectral correspondence for the moduli space, identifying V-twisted Higgs bundles with the direct images of certain rank one torsionfree Higgs sheaves twisted by a line bundle on a spectral covering of the curve X. | es-ES |
| dc.description.version | info:eu-repo/semantics/publishedVersion | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.issn | 0129-167X | |
| dc.identifier.uri | https://doi.org/10.1142/S0129167X26500412 | |
| dc.keywords | Twisted Higgs bundle; Hecke transformation; spectral curve; Fibrado de Higgs retorcido, transformación de Hecke, curva espectral. | es-ES |
| dc.language.iso | en-GB | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.holder | es_ES | |
| dc.source | Revista: International Journal of Mathematics, Periodo: 1, Volumen: online, Número: 9, Página inicial: 2650041, Página final: 0 | |
| dc.subject.other | Instituto de Investigación Tecnológica (IIT) | |
| dc.title | Remarks on Higgs bundles twisted by a vector bundle | |
| dc.type | info:eu-repo/semantics/article |