Valuation rings of mixed characteristic as limits of complete intersection rings

2021/01/05 by Popescu, Dorin
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.01346

Abstract

We show that a mixed characteristic valuation ring with a value group Γ, \val its valuation and a residue field of characteristic p>0, is a filtered colimit of complete intersection \bf Z-algebras if Γ/\bf Z\val(p) has no p-torsion and V is Henselian.

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