Abstract
We show that a conjecture of Kotschick about one-forms without zeros on compact Kähler manifolds follows in the case of simple Albanese torus from a conjecture of Bobadilla and Kollár about homologically trivial fibrations. As an application, we prove Kotschick’s conjecture for compact Kähler manifolds X with , whose Albanese torus is simple.
Citation
Stefan Schreieder. Ruijie Yang. "Zeros of One-Forms and Homologically Trivial Fibrations." Michigan Math. J. Advance Publication 1 - 10, 2023. https://doi.org/10.1307/mmj/20226317
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