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arXiv · 2103.02780

Towards classification of codimension 1 foliations on threefolds of general type

Aleksei Golota
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Abstract

We aim to classify codimension 1 foliations $\mathscr{F}$ with canonical singularities and $\nu(K_{\mathscr{F}}) < 3$ 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 $\mathscr{F}$ with the canonical class $K_{\mathscr{F}}$ being not big on manifolds of general type in any dimension, assuming that $\mathscr{F}$ is non-singular in codimension $2$.

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Aleksei Golota. 2021-03-04. Towards classification of codimension 1 foliations on threefolds of general type. https://arxiv.org/abs/2103.02780

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