Good minimal models with nowhere vanishing holomorphic $1$-forms

Abstract

Popa and Schnell show that any holomorphic 1-form on a smooth projective variety of general type has zeros. In this article, we show that a smooth good minimal model has a holomorphic 1-form without zero if and only if it admits an analytic fiber bundle structure over a positive dimensional abelian variety.

Almost the same result has appeared in an earlier preprint arXiv:2410.22753, but the approach is different