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arXiv · 1112.4512

On Fano foliations

Carolina Araujo·Stéphane Druel
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Abstract

In this paper we address Fano foliations on complex projective varieties. These are foliations whose anti-canonical class is ample. We focus our attention on a special class of Fano foliations, namely del Pezzo foliations on complex projective manifolds. We show that these foliations are algebraically integrable, with one exceptional case when the ambient space is a projective space. We also provide a classification of del Pezzo foliations with mild singularities.

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Carolina Araujo, Stéphane Druel. 2012-01-26. On Fano foliations. https://arxiv.org/abs/1112.4512

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