Characterization of Abelian Varieties

Abstract

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.

10 pages, amstex

References in corpus (1)

• Fourier transforms, generic vanishing theorems and polarizations of abelian varieties