Brill-Noether loci with fixed determinant in rank 2
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Brill-Noether loci with fixed determinant in rank 2

  • Author(s): Osserman, Brian
  • et al.

Published Web Location

https://arxiv.org/pdf/1005.0448.pdf
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Abstract

In the 1990's, Bertram, Feinberg and Mukai examined Brill-Noether loci for vector bundles of rank 2 with fixed canonical determinant, noting that the dimension was always bigger in this case than the naive expectation. We generalize their results to treat a much broader range of fixed-determinant Brill-Noether loci. The main technique is a careful study of symplectic Grassmannians and related concepts.

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