Birational equivalence of Higgs moduli

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dc.creatorMehta, Mridul
dc.date2003-11-07
dc.date2003-11-20
dc.date.accessioned2026-07-07T05:02:44Z
dc.date.available2026-07-07T05:02:44Z
dc.descriptionIn this paper, we study triples of the form (E, theta, phi) over a compact Riemann Surface, where (E, theta) is a Higgs bundle and phi is a global holomorphic section of the Higgs bundle. Our main result is a description of a birational equivalence which relates geometrically the moduli space of Higgs bundles of rank r and degree d to the moduli space of Higgs bundles of rank (r-1) and degree d.
dc.description20 pages, same as before, with a correction in the references
dc.identifierhttps://arxiv.org/abs/math/0311122
dc.identifierhttp://arxiv.org/abs/math/0311122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69124
dc.subjectAlgebraic Geometry
dc.subject14D20; 14E05
dc.titleBirational equivalence of Higgs moduli
dc.typetext

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