Projective algebraic varieties whose universal covering spaces are biholomorphic to Cn

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  • Projective algebraic varieties whose universal covering spaces are biholomorphic to C<SUP>n</SUP>

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These varieties are conjectured to be abelian varieties up to finite étale coverings. This conjecture is derived from an a?rmative answer to the abundance conjecture in minimal model theory. In particular, this is true for n=3.

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