Mathematical Research Letters

Volume 12 (2005)

Number 1

Birational characterization of products of curves of genus 2

Pages: 129 – 140



Christopher D. Hacon (University of Utah)

Rita Pardini (Universitá di Pisa)


Let $X$ be a variety of maximal Albanese dimension. In this paper we prove that if $\chi (\omega _X )=1$ then $q(X)\leq 2\dim X$ and if $q(X)=2\dim X$, then $X$ is birational to a product of curves of genus $2$.

Published 1 January 2005