Zeros of Holomorphic One-Forms and Topology of Kähler Manifolds-Reference-Cited by-同舟云学术

Zeros of Holomorphic One-Forms and Topology of Kähler Manifolds

Published:2020-01-08 Issue:8 Volume:2021 Page:6169-6183
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Schreieder Stefan¹

Affiliation:

1. Mathematisches Institut, LMU München, Theresienstr. 39, 80333 München, Germany

Abstract

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 [10], we use our approach to prove Kotschick’s conjecture for smooth projective three-folds.

Funder

Deutsche Forschungsgemeinschaft

Topologische Eigenschaften von Algebraischen Varietäten

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/8/6169/37304129/rnz323.pdf

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1. Generic vanishing, 1-forms, and topology of Albanese maps;Mathematische Zeitschrift;2024-02-27

2. Nowhere Vanishing Holomorphic One-Forms on Varieties of Kodaira Codimension One;International Mathematics Research Notices;2023-04-19

3. Zeros of One-Forms and Homologically Trivial Fibrations;Michigan Mathematical Journal;2023-01-01

4. Holomorphic one-forms without zeros on threefolds;Geometry & Topology;2021-03-02