A counterexample to strong local monomialization in a tower of two independent defect Artin-Schreier extensions
Steven Dale Cutkosky
TL;DR
This paper presents a specific counterexample in algebraic geometry showing that strong local monomialization fails in a particular tower of two independent defect Artin-Schreier extensions, challenging previous assumptions.
Contribution
It provides the first explicit counterexample demonstrating the failure of strong local monomialization in this context.
Findings
Counterexample in two-dimensional regular local rings
Failure of strong local monomialization in the given extension
Implications for the theory of Artin-Schreier extensions
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory