The p ranks of Prym varieties

Abstract: In this talk we will start with basics of moduli space of curves, coverings of curves, p-ranks and mention the differences in characteristics 0 and positive characteristics.Then we'll define Prym variety which is a central object of study in arithmetic geometry like Jacobian variety. The goal of the talk is to understand various existence results about Prym varieties of given genus, p-rank and characteristics of the base field. This is joint work with Rachel Pries.

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars