Semi-stable extensions on arithmetic surfaces

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dc.creatorSoule, C.
dc.date2005-05-04
dc.date.accessioned2026-07-07T05:19:38Z
dc.date.available2026-07-07T05:19:38Z
dc.descriptionOn a given arithmetic surface, inspired by work of Miyaoka, we consider vector bundles which are extensions of a line bundle by another one. We give sufficient conditions for their restriction to the generic fiber to be semi-stable. We then apply the arithmetic analog of Bogomolov inequality in Arakelov theory, and deduce from it a lower bound for some successive minima in the lattice of extension classes between these line bundles.
dc.identifierhttps://arxiv.org/abs/math/0505079
dc.identifierhttp://arxiv.org/abs/math/0505079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75091
dc.subjectAlgebraic Geometry
dc.subjectMSC 14G40
dc.titleSemi-stable extensions on arithmetic surfaces
dc.typetext

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