Foliations whose first Chern class is nef

2021/05/21 by Ou, Wenhao · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.10309

Abstract

Let F be a foliation on a projective manifold X with -K_F nef. Assume that either F is regular, or it has a compact leaf. We prove that there is a locally trivial fibration f\colon X→ Y, and a foliation G on Y with K_G ≡ 0, such that F = f^-1(G).

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