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A counterexample to strong local monomialization in a tower of two independent defect Artin–Schreier extensions
Steven Dale Cutkosky1
1 Department of Mathematics, University of Missouri, Columbia, MO 65211, USA
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 33 (2024) no. 4, pp. 915-935.

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.

Nous donnons un exemple d’extension d’anneaux locaux réguliers à deux dimensions dans une tour de deux extensions d’Artin–Schreier de défauts indépendants pour lesquelles la monomialisation locale forte ne tient pas.

Received:
Accepted:
Published online:
DOI: 10.5802/afst.1790
Classification: 14B05, 14B25, 13A18
Keywords: valuation, positive characteristic, defect, strong monomialization

Steven Dale Cutkosky 1

1 Department of Mathematics, University of Missouri, Columbia, MO 65211, USA
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Steven Dale Cutkosky. A counterexample to strong local monomialization in a tower of two independent defect Artin–Schreier extensions. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 33 (2024) no. 4, pp. 915-935. doi : 10.5802/afst.1790. https://afst.centre-mersenne.org/articles/10.5802/afst.1790/

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