Work

Holomorphic symmetric differentials and parallelizable compact complex manifolds

Year: 2019
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W2944976018
Cites: 10
Cited by: 3
Related to: 10