Mathematical Research Letters
Volume 12 (2005)
Birational characterization of products of curves of genus 2
Pages: 129 – 140
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 $2$.