Zeros of Holomorphic One-Forms and Topology of Kahler Manifolds

Schreieder, Stefan (2021): Zeros of Holomorphic One-Forms and Topology of Kahler Manifolds. In: International Mathematics Research Notices, Vol. 2021, No. 8: pp. 6169-6183

Abstract

A conjecture of Kotschick predicts that a compact Miller 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1073-7928
• Language: English