Newton Non-degenerate Foliations and Blowing-ups
Dynamical Systems
2020-05-19 v2 Algebraic Geometry
Abstract
A codimension one singular holomorphic foliation is Newton non-degenerate if it satisfies the classical conditions of Kouchnirenko and Oka, in terms of its Newton polyhedra system. In this paper we prove that a foliation is Newton non-degenerate if and only if it admits a logarithmic reduction of singularities of a combinatorial nature.
Keywords
Cite
@article{arxiv.1912.07324,
title = {Newton Non-degenerate Foliations and Blowing-ups},
author = {Beatriz Molina-Samper},
journal= {arXiv preprint arXiv:1912.07324},
year = {2020}
}