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# Foliations transversely product along some component of the singular set

Mercredi, 3 Avril, 2019 - 09:00
A. Lins Neto
Instituto de Matemática Pura e Aplicada
Foliations transversely product along some component of the singular set
Résumé:

Abstract: In this talk we intend to give an idea of the proof that a codimension one foliation on Pn , n > 3, that is a local product near every point of some codi-mension two irreducible component of the singular set has a rational first integral. This result is a kind of generalization of a result of Calvo Andrade and M. Brunella about foliations with a Kupka component.