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Pré-Publication, Document De Travail Année : 2017

Deformation of Rational Curves Along Foliations

Résumé

Deformation of morphisms along leaves of foliations define the tangential foliation on the corresponding space of morphisms. We prove that codimension one fo-liations having a tangential foliation with at least one non-algebraic leaf are transversely homogeneous with structure group determined by the codimension of the non-algebraic leaf in its Zariski closure. As an application, we provide a structure theorem for degree three foliations on $P^3$ .
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Dates et versions

hal-01671053 , version 1 (21-12-2017)
hal-01671053 , version 2 (29-08-2018)

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Frank Loray, Jorge Vitório Pereira, Frédéric Touzet. Deformation of Rational Curves Along Foliations. 2017. ⟨hal-01671053v1⟩
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