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Brill-Noether loci with fixed determinant in rank 2
Published Web Location
https://arxiv.org/pdf/1005.0448.pdfNo data is associated with this publication.
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.