Good minimal models with nowhere vanishing holomorphic 1-forms

2024/12/17 by Hao Feng, Hao, Feng, Wang Zichang +3 · 1 citation
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2412.12582

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.

Cited by

• Holomorphic one-forms without zeros on Kähler manifolds of Kodaira codimension one

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