A counterexample to strong local monomialization in a tower of two independent defect Artin-Schreier extensions

2023/02/15 by Cutkosky, Steven Dale
#13A18 #14B25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.07710

Abstract

We give an example of an extension of two dimensional regular local rings in a tower of two independent defect Artin-Schreier extensions for which strong local monomialization does not hold.

Related

• Dependent Artin-Schreier Defect Extensions and Strong Monomialization
• Strong Artin-Rees Property in Rings of dimension one and two
• A Stronger Local Monomialization Theorem
• Depth of Artin-Schreier defect towers
• Erratic birational behavior of mappings in positive characteristic