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arXiv · 1912.07324

Newton Non-degenerate Foliations and Blowing-ups

Beatriz Molina-Samper
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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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Beatriz Molina-Samper. 2020-05-17. Newton Non-degenerate Foliations and Blowing-ups. https://arxiv.org/abs/1912.07324

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