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Zeros of Holomorphic One-Forms and Topology of Kähler Manifolds
- Source :
- International Mathematics Research Notices. 2021:6169-6183
- Publication Year :
- 2020
- Publisher :
- Oxford University Press (OUP), 2020.
-
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.
Details
- ISSN :
- 16870247 and 10737928
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- International Mathematics Research Notices
- Accession number :
- edsair.doi...........02884a402f20532d3a4c697f715099d7