Injectivity of the symmetric map for line bundles

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Let 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.
To appear in Manuscripta Mathematica. No changes in the paper. Word "generic" added to the abstract

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Algebraic Geometry, 14H60

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http://salesiana.dossiersoluciones.com/handle/123456789/68580

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309265
 http://arxiv.org/abs/math/0309265

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arXiv