Brill-Noether loci with fixed determinant in rank 2

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

2010-05-04

arxiv.org/abs/1005.0448v2

Mathematics

Algebraic Geometry

20 pages. Expanded appendix on codimension for stacks

Scientific paper

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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