Brill--Noether theory of Prym varieties

Abstract: I will discuss combinatorial aspects of Prym varieties, a class of Abelian varieties that shows up in the presence of double covers of curves. Pryms have deep connections with torsion points of Jacobians, bi-tangent lines, and spin structures. As I will explain, problems concerning Pryms may be reduced, via tropical geometry, to combinatorial games on graphs. Consequently we obtain new results in the geometry of special algebraic curves and bounds on dimensions of certain Brill–Noether loci.

algebraic geometrycombinatorics

Audience: researchers in the topic

(LAGARTOS) Latin American Real and Tropical Geometry Seminar

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