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On the Gieseker-Petri map for rank 2 vector bundles

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Abstract

Denote by Wn,d r the set of stable vector bundles of rank n and degree d with at least r+1 sections. We compute the singular locus of Wn,d 1. We show that W2,d 2 is irreducible and reduced and we characterize the singular locus of Wn,d 2.

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References

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Authors and Affiliations

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

    Montserrat Teixidor i Bigas

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  1. Montserrat Teixidor i Bigas
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Partially supported by N.S.F. Grant No. DMS9100891

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Bigas, M.T.i. On the Gieseker-Petri map for rank 2 vector bundles. Manuscripta Math 75, 375–382 (1992). https://doi.org/10.1007/BF02567092

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  • DOI: https://doi.org/10.1007/BF02567092

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