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arXiv · 1905.10849

Holomorphic symmetric differentials and parallelizable compact complex manifolds

Ernesto C. Mistretta
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Abstract

We provide a characterization of complex tori using holomorphic symmetric differentials. With the same method we show that compact complex manifolds of Kodaira dimension 0 having some symmetric power of the cotangent bundle globally generated are quotients of parallelizable manifolds, therefore have an infinite fundamental group.

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Ernesto C. Mistretta. 2019-05-26. Holomorphic symmetric differentials and parallelizable compact complex manifolds. https://arxiv.org/abs/1905.10849

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