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

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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Publication Details

Journal
Annales de la faculté des sciences de Toulouse Mathématiques
Published
2025-02-03
DOI
https://doi.org/10.5802/afst.1790
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Steven Dale Cutkosky
Annales de la faculté des sciences de Toulouse Mathématiques
Algebraic structures and combinatorial models
article

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

Steven Dale Cutkosky
article en

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.

Annales de la faculté des sciences de Toulouse MathématiquesVol. 33(4)
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Algebraic structures and combinatorial models
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A counterexample to strong local monomialization in a tower of two independent defect Artin–Schreier extensions — Steven Dale Cutkosky · Annales de la faculté des sciences de Toulouse Mathématiques (2025) | TGRS Research Map | TGRS