On Fano foliations
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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.
38 pages, several minor clarifications and corrections
37F75, Fano manifolds, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], 14M22, 37F75, 37F75, 14M22, Classification, Holomorphic foliations, 510, Mathematics - Algebraic Geometry, MSC : 14M22, FOS: Mathematics, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], Algebraic Geometry (math.AG)
37F75, Fano manifolds, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], 14M22, 37F75, 37F75, 14M22, Classification, Holomorphic foliations, 510, Mathematics - Algebraic Geometry, MSC : 14M22, FOS: Mathematics, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], Algebraic Geometry (math.AG)
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