Birational characterization of products of curves of genus 2

Details Birational characterization of products of curves of genus 2 Birational characterization of products of curves of genus 2

2004-02-18

arxiv.org/abs/math/0402296v1

Mathematics

Algebraic Geometry

LaTeX2e, 12 pages

Scientific paper

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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