Numerically flat Higgs vector bundles

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dc.contributor.areaMathematicsen_US
dc.contributor.authorBruzzo, Ugoen_US
dc.contributor.authorGraƱa Otero, Beatrizen_US
dc.contributor.departmentMathematical Physicsen_US
dc.date.accessioned2005en_US
dc.date.accessioned2011-09-07T20:28:40Z
dc.date.available2005en_US
dc.date.available2011-09-07T20:28:40Z
dc.date.issued2005en_US
dc.description.abstractAfter 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.en_US
dc.format.extent192887 bytesen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationCommun. Contemp. Math. 9 (2007) 437-446en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/1757en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesSISSA;39/2005/FMen_US
dc.relation.ispartofseriesarXiv.org;math/0603509v1en_US
dc.relation.uri10.1142/S0219199707002526en_US
dc.titleNumerically flat Higgs vector bundlesen_US
dc.typePreprinten_US
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