Loose edges
classification
🧮 math.AG
keywords
powerseriesedgeloosearbitrarycoefficientsconsidercoprime
read the original 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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