Numerically flat Higgs vector bundles

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dc.creatorBruzzo, Ugo
dc.creatorOtero, Beatriz Graña
dc.date2006-03-21
dc.date.accessioned2026-07-07T08:24:10Z
dc.date.available2026-07-07T08:24:10Z
dc.descriptionAfter providing a suitable definition of numerical effectiveness for Higgs bundles, and a related notion of numerical flatness, in this paper we prove, together with some side results, that all Chern classes of a Higgs-numerically flat Higgs bundle vanish, and that a Higgs bundle is Higgs-numerically flat if and only if it is has a filtration whose quotients are flat stable Higgs bundles. We also study the relation between these numerical properties of Higgs bundles and (semi)stability.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0603509
dc.identifierhttp://arxiv.org/abs/math/0603509
dc.identifierCommun. Contemp. Math. 9 (2007), 437-446.
dc.identifierdoi:10.1142/S0219199707002526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136254
dc.subjectAlgebraic Geometry
dc.subject14F05
dc.titleNumerically flat Higgs vector bundles
dc.typetext

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