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Injectivity of the Petri map for twisted Brill–Noether loci

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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

$$P_{E}:H^0(C,L\otimes E)\otimes H^0(C, K\otimes L^*\otimes E^{*})\rightarrow H^0(C, K)$$

is injective.

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Authors and Affiliations

  1. Mathematics Department, Tufts University, Medford, MA, 02155, USA

    Montserrat Teixidor i Bigas

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  1. Montserrat Teixidor i Bigas
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Correspondence to Montserrat Teixidor i Bigas.

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Teixidor i Bigas, M. Injectivity of the Petri map for twisted Brill–Noether loci. manuscripta math. 145, 389–397 (2014). https://doi.org/10.1007/s00229-014-0690-x

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  • DOI: https://doi.org/10.1007/s00229-014-0690-x

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