Zeros of one-forms and homologically trivial fibrations

Research output: Working paper/Preprint › Preprint

Authors

  • Stefan Schreieder
  • Ruijie Yang

Research Organisations

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Original languageEnglish
Publication statusE-pub ahead of print - 11 Oct 2022

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 whose first betti number is at least 2dim(X)-2 and Albanese torus is simple.

Keywords

    math.AG, math.DG, 14F45, 32Q55, 32S60

Cite this

Zeros of one-forms and homologically trivial fibrations. / Schreieder, Stefan; Yang, Ruijie.
2022.

Research output: Working paper/Preprint › Preprint

Schreieder, S., & Yang, R. (2022). Zeros of one-forms and homologically trivial fibrations. Advance online publication. https://doi.org/10.48550/arXiv.2210.05697
Schreieder S, Yang R. Zeros of one-forms and homologically trivial fibrations. 2022 Oct 11. Epub 2022 Oct 11. doi: 10.48550/arXiv.2210.05697
Schreieder, Stefan ; Yang, Ruijie. / Zeros of one-forms and homologically trivial fibrations. 2022.
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