Good minimal models with nowhere vanishing holomorphic $1$-forms
Algebraic Geometry
2024-12-18 v1
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.
Cite
@article{arxiv.2412.12582,
title = {Good minimal models with nowhere vanishing holomorphic $1$-forms},
author = {Feng Hao and Zichang Wang and Lei Zhang},
journal= {arXiv preprint arXiv:2412.12582},
year = {2024}
}
Comments
Almost the same result has appeared in an earlier preprint arXiv:2410.22753, but the approach is different