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1999-06-02Buch DOI: 10.18452/2668
Restriction of stable rank two vector bundles in arbitrary characteristic
dc.contributor.authorHein, Georg
dc.date.accessioned2017-06-15T17:55:07Z
dc.date.available2017-06-15T17:55:07Z
dc.date.created2005-11-09
dc.date.issued1999-06-02
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3320
dc.description.abstractLet X be a smooth variety defined over an algebraically closed field of arbitrary characteristic and H be a very ample divisor on X. We show that for a semistable X-bundle E of rank two, there exists an integer m depending only on Delta(E).Hdim(X)-2 and Hdim(X) such that the restriction of E to a general divisor in the linear system |mH| is again semistable. As corollaries we obtain boundedness results, and weak versions of Bogomolov's theorem and Kodaira's vanishing theorem for surfaces in arbitrary characteristic.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectrestriction theoremseng
dc.subjectvector bundleeng
dc.subjectBogomolov inequalityeng
dc.subject.ddc510 Mathematik
dc.titleRestriction of stable rank two vector bundles in arbitrary characteristic
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10053250
dc.identifier.doihttp://dx.doi.org/10.18452/2668
dc.subject.dnb27 Mathematik
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages31
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume1999
local.edoc.container-issue7
local.edoc.container-year1999
local.edoc.container-erstkatid2075199-0

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