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

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Authors

  • Stefan Schreieder

External Research Organisations

  • Ludwig-Maximilians-Universität München (LMU)
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Details

Original languageEnglish
Pages (from-to)6169-6183
Number of pages15
JournalInternational Mathematics Research Notices
Volume2021
Issue number8
Early online date8 Jan 2020
Publication statusPublished - 15 Dec 2022
Externally publishedYes

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.

Keywords

    Topology of algebraic varieties, one-forms, local systems, generic vanishing

ASJC Scopus subject areas

Cite this

Zeros of holomorphic one-forms and topology of Kähler manifolds: (Appendix written jointly with H.-Y. Lin) . / Schreieder, Stefan.
In: International Mathematics Research Notices, Vol. 2021, No. 8, 15.12.2022, p. 6169-6183.

Research output: Contribution to journal › Article › Research › peer review

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