Characterization of Abelian Varieties

Details Characterization of Abelian Varieties Characterization of Abelian Varieties

1999-03-30

arxiv.org/abs/math/9903184v1

Mathematics

Algebraic Geometry

10 pages, amstex

Scientific paper

We prove that any smooth complex projective variety $X$ with plurigenera
$P_1(X)=P_2(X)=1$ and irregularity $q(X)=dim (X)$ is birational to an abelian
variety.

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