Newton Non-degenerate Foliations and Blowing-ups

2019/12/16 by Molina-Samper, Beatriz · 1 citation
#Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.07324

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.

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• Toric reduction of singularities for Newton nondegenerate p-forms

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