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Injectivity of the Petri map for twisted Brill-Noether loci

Algebraic Geometry 2009-07-03 v1

Abstract

Let C be a generic curve, E a generic vector bundle on C. Then, for every line bundle on C the twisted Petri map P:H^0(C,L\otimes E)\otimes H^0(C, K\otimes L^*\otimes E^{*})--> H^0(C, K) is injective.

Keywords

Cite

@article{arxiv.0907.0365,
  title  = {Injectivity of the Petri map for twisted Brill-Noether loci},
  author = {Montserrat Teixidor I. Bigas},
  journal= {arXiv preprint arXiv:0907.0365},
  year   = {2009}
}

Comments

To appear in manuscripta mathematica