Jacobians in Isogeny Classes of Abelian Surfaces over Finite Fields

@inproceedings{Howe2008JacobiansII,
title={Jacobians in Isogeny Classes of Abelian Surfaces over Finite Fields},
author={Everett W. Howe and Enric Nart and Christophe Ritzenthaler},
year={2008}
}

We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus-2 curves over finite fields.

Zeta functions of supersingular curves of genus two , Canad . J . Math . , to appear . [ MV 05 ] Gary McGuire and José Felipe Voloch : Weights in codes and genus 2 curves