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arxiv: math/0402296 · v1 · submitted 2004-02-18 · 🧮 math.AG

Birational characterization of products of curves of genus 2

classification 🧮 math.AG
keywords birationalcurvesgenusthenalbanesecharacterizationdimensionmaximal
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Let X be a variety of maximal Albanese dimension. In this paper we prove that if \chi (\omega_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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