Brill-Noether loci with fixed determinant in rank 2
Algebraic Geometry
2011-08-26 v2
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.
Keywords
Cite
@article{arxiv.1005.0448,
title = {Brill-Noether loci with fixed determinant in rank 2},
author = {Brian Osserman},
journal= {arXiv preprint arXiv:1005.0448},
year = {2011}
}
Comments
20 pages. Expanded appendix on codimension for stacks