There is no Bogomolov type restriction theorem for strong semistability in positive characteristic

Simple item page
dc.creatorBrenner, Holger
dc.date2004-01-26
dc.date.accessioned2026-07-07T05:04:53Z
dc.date.available2026-07-07T05:04:53Z
dc.descriptionWe give an example of a strongly semistable vector bundle of rank two on the projective plane such that there exist smooth curves of arbitrary high degree with the property that the restriction of the bundle to the curve is not strongly semistable anymore. This shows that a Bogomolov type restriction theorem does not hold for strong semistability in positive characteristic.
dc.identifierhttps://arxiv.org/abs/math/0401366
dc.identifierhttp://arxiv.org/abs/math/0401366
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69981
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14J60, 14H60, 13A35
dc.titleThere is no Bogomolov type restriction theorem for strong semistability in positive characteristic
dc.typetext

Files

Collections

arXiv