Deformation of Rational Curves Along Foliations

Abstract : Deformation of morphisms along leaves of foliations define the tangential foliation on the corresponding space of morphisms. We prove that codimension one foliations 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 $P^3$ .
Type de document :
Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01671053
Contributeur : Frank Loray <>
Soumis le : mercredi 29 août 2018 - 12:50:12
Dernière modification le : samedi 1 septembre 2018 - 01:13:53

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deg3v1.pdf
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  • HAL Id : hal-01671053, version 2
  • ARXIV : 1712.08330

Citation

Frank Loray, Jorge Pereira, Frédéric Touzet. Deformation of Rational Curves Along Foliations. 2018. 〈hal-01671053v2〉

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