Holomorphic symmetric differentials and parallelizable compact complex manifolds
Algebraic Geometry
2019-05-28 v1
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.
Keywords
Cite
@article{arxiv.1905.10849,
title = {Holomorphic symmetric differentials and parallelizable compact complex manifolds},
author = {Ernesto C. Mistretta},
journal= {arXiv preprint arXiv:1905.10849},
year = {2019}
}