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Numerically flat Higgs vector bundles

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dc.contributor.author Bruzzo, Ugo en_US
dc.contributor.author Graña Otero, Beatriz en_US
dc.date.accessioned 2005 en_US
dc.date.accessioned 2011-09-07T20:28:40Z
dc.date.available 2005 en_US
dc.date.available 2011-09-07T20:28:40Z
dc.date.issued 2005 en_US
dc.identifier.citation Commun. Contemp. Math. 9 (2007) 437-446 en_US
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/1757 en_US
dc.description.abstract After 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.extent 192887 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;39/2005/FM en_US
dc.relation.ispartofseries arXiv.org;math/0603509v1 en_US
dc.relation.uri 10.1142/S0219199707002526 en_US
dc.title Numerically flat Higgs vector bundles en_US
dc.type Preprint en_US
dc.contributor.department Mathematical Physics en_US
dc.contributor.area Mathematics en_US


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