Holomorphic one-forms without zeros on threefolds

Hao, Feng und Schreieder, Stefan (2021): Holomorphic one-forms without zeros on threefolds. In: Geometry & Topology, Bd. 25, Nr. 1: S. 409-444

Abstract

We show that a smooth complex projective threefold admits a holomorphic one-form without zeros if and only if the underlying real 6-manifold is a C-infinity-fibre bundle over the circle, and we give a complete classification of all threefolds with that property. Our results prove a conjecture of Kotschick in dimension three.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1465-3060
• Sprache: Englisch