Zeros of holomorphic one-forms and topology of Kähler manifolds: (Appendix written jointly with H.-Y. Lin)

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Stefan Schreieder

Externe Organisationen

  • Ludwig-Maximilians-Universität München (LMU)
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Details

OriginalspracheEnglisch
Seiten (von - bis)6169-6183
Seitenumfang15
FachzeitschriftInternational Mathematics Research Notices
Jahrgang2021
Ausgabenummer8
Frühes Online-Datum8 Jan. 2020
PublikationsstatusVeröffentlicht - 15 Dez. 2022
Extern publiziertJa

Abstract

A conjecture of Kotschick predicts that a compact Kähler manifold \(X\) fibres smoothly over the circle if and only if it admits a holomorphic one-form without zeros. In this paper we develop an approach to this conjecture and verify it in dimension two. In a joint paper with Hao, we use our approach to prove Kotschick's conjecture for smooth projective threefolds.

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Zeros of holomorphic one-forms and topology of Kähler manifolds: (Appendix written jointly with H.-Y. Lin) . / Schreieder, Stefan.
in: International Mathematics Research Notices, Jahrgang 2021, Nr. 8, 15.12.2022, S. 6169-6183.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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