Holomorphic 1-forms without zeros on Kähler manifolds

Assuming the existence of good minimal models, we give a bimeromorphic classification of compact connected Kähler manifolds admitting a holomorphic 1-form without zeros.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.40097
Primary Topic
Geometry and complex manifolds
Type
preprint
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preprint

Holomorphic 1-forms without zeros on Kähler manifolds

Simon Pietig
arXiv (Cornell University)
Geometry and complex manifolds
preprint

Holomorphic 1-forms without zeros on Kähler manifolds

Simon Pietig
preprint en

Abstract

Assuming the existence of good minimal models, we give a bimeromorphic classification of compact connected Kähler manifolds admitting a holomorphic 1-form without zeros.

arXiv (Cornell University)
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
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Holomorphic 1-forms without zeros on Kähler manifolds — Simon Pietig · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS