Valuation rings as limits of complete intersection rings

2020/04/23 by Popescu, Dorin
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.11004

Abstract

We show that a valuation ring containing its residue field of characteristic p>0 is a filtered direct limit of complete intersection \bf F_p-algebras.

Related

• Algebraic valuation ring extensions as limits of complete intersection algebras
• Valuation rings of mixed characteristic as limits of complete intersection rings
• Filtered colimits of complete intersection algebras
• Valuation rings of dimension one as limits of smooth algebras
• Extensions of valuation rings containing \bf Q as limits of smooth algebras