The Weierstrass preparation theorem and resultants of p-adic power series

2019/10/11 by Berger, Laurent
#11S15 #11S82 #13J05 #13P15 #26E30 #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1910.05319

Abstract

We define the resultant of two power series with coefficients in the ring of integers of a p-adic field. In order to do this, we prove a universal version of the Weierstrass preparation theorem.

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