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arXiv · 1610.00754

Some remarks on regular foliations with numerically trivial canonical class

Stéphane Druel
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Abstract

In this article, we first describe codimension two regular foliations with numerically trivial canonical class on complex projective manifolds whose canonical class is not numerically effective. Building on a recent algebraicity criterion for leaves of algebraic foliations, we then address regular foliations of small rank with numerically trivial canonical class on complex projective manifolds whose canonical class is pseudo-effective. Finally, we confirm the generalized Bondal conjecture formulated by Beauville in some special cases.

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Stéphane Druel. 2016-10-03. Some remarks on regular foliations with numerically trivial canonical class. https://doi.org/10.46298/epiga.2017.volume1.2057

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