Injectivity of the symmetric map for line bundles

dc.creatorBigas, Montserrat Teixidor i
dc.date2003-09-16
dc.date2003-09-17
dc.date.accessioned2026-07-07T05:01:10Z
dc.date.available2026-07-07T05:01:10Z
dc.descriptionLet C be a generic non-singular curve of genus g defined over a field of characteristic different from 2. We show that for every line bundle on C of degree at most g+1, the natural product map S^2(H^0(L))\to H^0(C,L^2) is injective. We also show that the bound on the degree of L is sharp.
dc.descriptionTo appear in Manuscripta Mathematica. No changes in the paper. Word "generic" added to the abstract
dc.identifierhttps://arxiv.org/abs/math/0309265
dc.identifierhttp://arxiv.org/abs/math/0309265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68580
dc.subjectAlgebraic Geometry
dc.subject14H60
dc.titleInjectivity of the symmetric map for line bundles
dc.typetext

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