Hypersurfaces quasi-invariant by codimension one foliations
Algebraic Geometry
2018-05-04 v2 Dynamical Systems
Abstract
We present a variant of the classical Darboux-Jouanolou Theorem. Our main result provides a characterization of foliations which are pull-backs of foliations on surfaces by rational maps. As an application, we provide a structure theorem for foliations on 3-folds admitting an infinite number of extremal rays.
Keywords
Cite
@article{arxiv.1804.08165,
title = {Hypersurfaces quasi-invariant by codimension one foliations},
author = {Jorge Vitorio Pereira and Calum Spicer},
journal= {arXiv preprint arXiv:1804.08165},
year = {2018}
}