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arXiv · 2501.18088

A characterization of uniruled compact K\"ahler manifolds

Wenhao Ou
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Abstract

We adapt Bost's algebraicity characterization to the situation of a germ in a compact K\"ahler manifold. As a consequence, we extend the algebraic integrability criteria of Campana-P\u{a}un and of Druel to foliations on compact K\"ahler manifolds. As an application, we prove that a compact K\"ahler manifold is uniruled if and only if its canonical line bundle is not pseudoeffective.

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Wenhao Ou. 2025-01-30. A characterization of uniruled compact K\"ahler manifolds. https://arxiv.org/abs/2501.18088

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