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2005-10-20Buch DOI: 10.18452/2524
Restricted Tangent Bundle of Space Curves
dc.contributor.authorHein, Georg
dc.contributor.authorKurke, Herbert
dc.date.accessioned2017-06-15T17:26:20Z
dc.date.available2017-06-15T17:26:20Z
dc.date.created2005-10-20
dc.date.issued2005-10-20
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3176
dc.description.abstractThe classiffication of space curves, i.e. embeddings of compact Riemann surfaces into IP3(IC) is an old problem in algebraic geometry. In this paper the problem is studied under the point of view: What is the structure of the restriction of the tangent bundle of p3 to the curve? To be precise, we ask for the Harder-Narasimhan-polygon of the restricted tangent bundle. We show that variety of space curves has a finite stratification by locally closed subschemas, compute the expected dimension of the strata for curves of high degree (compared to the genus) and we show that in the variety of space curves of genus g ≥ 1 and degree d ≥ g + 3 there always exists a dense open stratum corresponding to semistable restricted tangent bundles.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.subject.ddc510 Mathematik
dc.titleRestricted Tangent Bundle of Space Curves
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10050806
dc.identifier.doihttp://dx.doi.org/10.18452/2524
dc.subject.dnb27 Mathematik
local.edoc.pages9
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year1994
dc.identifier.zdb2075199-0
bua.series.namePreprints aus dem Institut für Mathematik
bua.series.issuenumber1994,7

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