Geometry of Brill-Noether loci on Prym varieties

Details Geometry of Brill-Noether loci on Prym varieties Geometry of Brill-Noether loci on Prym varieties

2011-03-05

arxiv.org/abs/1103.1053v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

Given the Prym variety of an \'etale double cover one can define analogues of
the classical Brill-Noether loci on Jacobians of curves. Recent work by Lahoz
and Naranjo shows that the Brill-Noether locus V^2 completely determines the
covering. In this paper we describe the singular locus and the irreducible
components of V^2.

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