Toward classification of codimension 1 foliations on threefolds of general type

DOI10.1002/MANA.202100307arXiv2103.02780OpenAlexW4383343908MaRDI QIDQ6144857

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Publication date: 8 January 2024

Published in: (Search for Journal in Brave)

Abstract: We aim to classify codimension 1 foliations $mathscrF$ with canonical singularities and $u(K_{mathscrF})<3$ on threefolds of general type. We prove a classification result for foliations satisfying these conditions and having non-trivial algebraic part. We also describe purely transcendental foliations $mathscrF$ with the canonical class $K_{mathscrF}$ being not big on manifolds of general type in any dimension, assuming that $mathscrF$ is non-singular in codimension $2$.

Full work available at URL: https://arxiv.org/abs/2103.02780

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Related Items (2)

MMP for co-rank one foliations on threefolds ⋮ Codimension \(1\) foliations with numerically trivial canonical class on singular spaces

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