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Remarks on Higgs bundles twisted by a vector bundle

dc.contributor.authorAlfaya Sánchez, Davides-ES
dc.contributor.authorBiswas, Indraniles-ES
dc.contributor.authorKumar, Pradipes-ES
dc.date.accessioned2026-05-05T04:27:56Z
dc.date.available2026-05-05T04:27:56Z
dc.date.issued2026-04-24es_ES
dc.identifier.issn0129-167Xes_ES
dc.identifier.urihttps://doi.org/10.1142/S0129167X26500412es_ES
dc.identifier.urihttp://hdl.handle.net/11531/109892
dc.descriptionArtículos en revistases_ES
dc.description.abstractFor 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.abstractFor 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.en-GB
dc.format.mimetypeapplication/pdfes_ES
dc.language.isoen-GBes_ES
dc.sourceRevista: International Journal of Mathematics, Periodo: 1, Volumen: En imprenta, Número: , Página inicial: 0, Página final: 0es_ES
dc.subject.otherInstituto de Investigación Tecnológica (IIT)es_ES
dc.titleRemarks on Higgs bundles twisted by a vector bundlees_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.description.versioninfo:eu-repo/semantics/publishedVersiones_ES
dc.rights.holderes_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.keywordsTwisted Higgs bundle;Hecke transformation; spectral curvees-ES
dc.keywordsTwisted Higgs bundle;Hecke transformation; spectral curveen-GB


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