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arXiv:math/0309265 [math.AG]AbstractReferencesReviewsResources

Injectivity of the symmetric map for line bundles

Montserrat Teixidor i Bigas

Published 2003-09-16, updated 2003-09-17Version 2

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.

Comments: To appear in Manuscripta Mathematica. No changes in the paper. Word "generic" added to the abstract
Categories: math.AG
Subjects: 14H60
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