Hypersurfaces quasi-invariant by codimension one foliations
classification
🧮 math.AG
math.DS
keywords
foliationstheoremadmittingapplicationcharacterizationclassicalcodimensiondarboux-jouanolou
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We present a variant of the classical Darboux-Jouanolou Theorem. Our main result provides a characterization of foliations which are pull-backs of foliations on surfaces by rational maps. As an application, we provide a structure theorem for foliations on 3-folds admitting an infinite number of extremal rays.
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