Abstract
We show that a smooth complex projective threefold admits a holomorphic one-form without zeros if and only if the underlying real –manifold is a –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.
Citation
Feng Hao. Stefan Schreieder. "Holomorphic one-forms without zeros on threefolds." Geom. Topol. 25 (1) 409 - 444, 2021. https://doi.org/10.2140/gt.2021.25.409
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