#### Volume 25, issue 1 (2021)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Author Index To Appear Other MSP Journals
Holomorphic one-forms without zeros on threefolds

### Feng Hao and Stefan Schreieder

Geometry & Topology 25 (2021) 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 ${C}^{\infty }$–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.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/gt

We have not been able to recognize your IP address 3.236.55.22 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

##### Keywords
topology of algebraic varieties, one-forms, minimal model program, classification, generic vanishing, threefolds
##### Mathematical Subject Classification 2010
Primary: 14F45, 14J30, 32Q55
Secondary: 32Q57