Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four
Algebraic Geometry
2018-01-11 v1 Classical Analysis and ODEs
Complex Variables
Abstract
Non-dicritical codimension one foliations on projective spaces of dimension four or higher always have an invariant algebraic hypersurface. The proof relies on a strengthening of a result by Rossi on the algebraization/continuation of analytic subvarieties of projective spaces.
Keywords
Cite
@article{arxiv.1801.03280,
title = {Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four},
author = {Jorge Vitorio Pereira},
journal= {arXiv preprint arXiv:1801.03280},
year = {2018}
}