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Transversely projective holomorphic foliations with singularities

Bruno Scardua
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Abstract

We study codimension one holomorphic foliations on complex projective spaces and compact manifolds under the assumption that the foliation has a projective transverse structure in the complement of some invariant codimension one analytic subset. The basic motivation is the characterization of pull-backs of Riccati foliations on projective spaces. Our techniques apply to give a description of the generic models of codimension one foliations on compact manifolds of dimension $\ge 3$.

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Bruno Scardua. 2004-12-02. Transversely projective holomorphic foliations with singularities. https://arxiv.org/abs/math/0412058

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