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arXiv · 2210.05697

Zeros of one-forms and homologically trivial fibrations

Stefan Schreieder·Ruijie Yang
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Abstract

We show that a conjecture of Kotschick about one-forms without zeros on compact K\"ahler manifolds follows in the case of simple Albanese torus from a conjecture of Bobadilla and Koll\'ar about homologically trivial fibrations. As an application, we prove Kotschick's conjecture for compact K\"ahler manifolds X whose first betti number is at least 2dim(X)-2 and Albanese torus is simple.

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Stefan Schreieder, Ruijie Yang. 2022-10-11. Zeros of one-forms and homologically trivial fibrations. https://arxiv.org/abs/2210.05697

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