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Birational characterization of products of curves of genus 2

Christopher D. Hacon·Rita Pardini
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Abstract

Let X be a variety of maximal Albanese dimension. In this paper we prove that if χ(ω_X)=1 then the q(X)<=2dim X and if q(X)=2dim X, then X is birational to a product of curves of genus 2.

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Christopher D. Hacon, Rita Pardini. 2004-02-18. Birational characterization of products of curves of genus 2. https://arxiv.org/abs/math/0402296

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