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

  • Author(s): Osserman, Brian
  • Bigas, Montserrat Teixidor i
  • et al.

Published Web Location

https://arxiv.org/pdf/1405.3314.pdf
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Abstract

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.

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