Linked symplectic forms and limit linear series in rank 2 with special determinant

Brian Osserman, Montserrat Teixidor i Bigas

Published 2014-05-13Version 1

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.