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arXiv · 2105.10309

Foliations whose first Chern class is nef

Wenhao Ou
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Abstract

Let $\mathcal{F}$ be a foliation on a projective manifold $X$ with $-K_{\mathcal{F}}$ nef. Assume that either $\mathcal{F}$ is regular, or it has a compact leaf. We prove that there is a locally trivial fibration $f\colon X\to Y$, and a foliation $\mathcal{G}$ on $Y$ with $K_{\mathcal{G}} \equiv 0$, such that $\mathcal{F} = f^{-1}(\mathcal{G})$.

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Wenhao Ou. 2021-05-21. Foliations whose first Chern class is nef. https://arxiv.org/abs/2105.10309

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