Zeros of one-forms and homologically trivial fibrations

Publikation: Arbeitspapier/Preprint › Preprint

Autoren

  • Stefan Schreieder
  • Ruijie Yang

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OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 11 Okt. 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.

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

Publikation: Arbeitspapier/Preprint › Preprint

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