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

Feng Hao; Zichang Wang; Lei Zhang

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arXiv · 2412.12582

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

Feng Hao·Zichang Wang·Lei Zhang

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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.

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Feng Hao, Zichang Wang, Lei Zhang. 2024-12-17. Good minimal models with nowhere vanishing holomorphic $1$-forms. https://arxiv.org/abs/2412.12582

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