Torsion Subgroups of Hyperelliptic Jacobian Varieties

Abstract: In this talk, we explore some number theoretic aspects of hyperelliptic curves. It is known that the number of isomorphism classes of hyperelliptic curves with the same discriminant over a fixed number field is finite. A more challenging task is to count, if not list, all such isomorphism classes. We also present explicit constructions of hyperelliptic Jacobian varieties with rational torsion points of prescribed order.

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars