PreprintarXiv licencearXiv
Holomorphic 1-forms without zeros on Kähler manifolds
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.
Related
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- Fundamental groups of compact Kähler manifolds with semi-positive holomorphic sectional curvature
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- Curvature growth and holomorphic splitting for Kähler metrics with cone singularities
- Schwarz lemma on bounded symmetric domains endowed with holomorphic invariant Kähler--Berwald metrics
BibTeX
@misc{pietig2026holomorphic,
title = {{Holomorphic 1-forms without zeros on Kähler manifolds}},
author = {Simon Pietig},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40097},
eprint = {2610.40097},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40097},
}
RIS
TY - UNPB
TI - Holomorphic 1-forms without zeros on Kähler manifolds
AU - Simon Pietig
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40097
UR - https://arxiv.org/abs/2610.40097
AB - Assuming the existence of good minimal models, we give a bimeromorphic classification of compact connected Kähler manifolds admitting a holomorphic 1-form without zeros.
ER -