L-functions of Genus Two Abelian Coverings of Elliptic Curves over Finite Fields

Abstract

Initially motivated by the relations between Anabelian Geometry and Artin's L-functions of the associated Galois-representations, here we study the list of zeta-functions of genus two abelian coverings of elliptic curves over finite fields. Our goal is to provide a complete description of such a list.

References in corpus (2)

• The arithmetic of genus two curves with (4,4)-split Jacobians
• Curves, dynamical systems and weighted point counting