Department of Mathematics
Brill-Noether loci with fixed determinant in rank 2
- Author(s): Osserman, Brian
- et al.
Published Web Locationhttps://arxiv.org/pdf/1005.0448.pdf
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.