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arXiv · 1405.3314

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

Brian Osserman·Montserrat Teixidor i Bigas
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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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Brian Osserman, Montserrat Teixidor i Bigas. 2014-05-13. Linked symplectic forms and limit linear series in rank 2 with special determinant. https://arxiv.org/abs/1405.3314

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