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Holomorphic one-forms without zeros on K\"ahler manifolds of Kodaira codimension one

Complex Variables 2025-12-10 v1 Algebraic Geometry

Abstract

We give a bimeromorphic classification of compact K\"ahler manifolds of Kodaira codimension one that admit a holomorphic one form without zeros.

Keywords

Cite

@article{arxiv.2512.08395,
  title  = {Holomorphic one-forms without zeros on K\"ahler manifolds of Kodaira codimension one},
  author = {Simon Pietig},
  journal= {arXiv preprint arXiv:2512.08395},
  year   = {2025}
}

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13 pages