Fibers of flat morphisms and Weierstrass preparation theorem

2014/05/19 by Cuong, Đoàn Trung
#11E08 #11E12 #13B35 #14H05 #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1405.4627

Abstract

We characterize flat extensions of commutative rings satisfying the Weierstrass preparation theorem. Using this characterization we prove a variant of the Weierstrass preparation theorem for rings of functions on a normal curve over a complete local domain of dimension one. This generalizes recent works of Harbater, Hartmann and Krashen with a different method of proof.

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