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math.AG1999
Characterization of Abelian Varieties
Jungkai A. Chen, Christopher D. Hacon
We prove that any smooth complex projective variety with plurigenera and irregularity is birational to an abelian variety.
math.AG1999
Fourier transforms, generic vanishing theorems and polarizations of abelian varieties
Christopher D. Hacon
The purpose of this paper is to give two applications of Fourier transforms and generic vanishing theorems: - we give a cohomological characterization of principal polarizations -…