Deformation of Rational Curves Along Foliations
Classical Analysis and ODEs
2021-02-23 v1 Algebraic Geometry
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 .
Keywords
Cite
@article{arxiv.1712.08330,
title = {Deformation of Rational Curves Along Foliations},
author = {Frank Loray and Jorge Pereira and Frédéric Touzet},
journal= {arXiv preprint arXiv:1712.08330},
year = {2021}
}