Department of Mathematics
Linked symplectic forms and limit linear series in rank 2 with special
- Author(s): Osserman, Brian
- Bigas, Montserrat Teixidor i
- et al.
Published Web Locationhttps://arxiv.org/pdf/1405.3314.pdf
We generalize the prior linked symplectic Grassmannian construction, applying it to to prove smoothing results for rank-2 limit linear series with fixed special determinant on chains of curves. We apply this general machinery to prove new results on nonemptiness and dimension of rank-2 Brill-Noether loci in a range of degrees.