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arXiv · 1712.08330

Deformation of Rational Curves Along Foliations

Frank Loray·Jorge Pereira·Frédéric Touzet
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Abstract

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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Frank Loray, Jorge Pereira, Frédéric Touzet. 2017-12-22. Deformation of Rational Curves Along Foliations. https://doi.org/10.2422/2036-2145.201712_010

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