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arXiv · 1807.04944

Loose edges

Janusz Gwoździewicz·Beata Hejmej
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Abstract

We consider formal power series in several variables with coefficients in arbitrary field such that their Newton polyhedron has a loose edge. We show that if the symbolic restriction of the power series $f$ to such an edge is a product of two coprime polynomials, then $f$ factorizes in the ring of power series.

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Janusz Gwoździewicz, Beata Hejmej. 2018-07-13. Loose edges. https://arxiv.org/abs/1807.04944

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