Dependent Artin-Schreier Defect Extensions and Strong Monomialization

2015/08/27 by Samar ElHitti, ElHitti, Samar, Laura Ghezzi +1
Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG

paper · pdf · doi:10.48550/arxiv.1508.06983

arxiv created 2015/08/27 · arxiv updated 2015/08/28

Abstract

In this paper we affirmatively answer a question posed by F.-V. Kuhlmann. We show that the first Artin-Schreier defect extension in Cutkosky and Piltant's counter-example to strong monomialization is a dependent extension. Our main tool is the use of generating sequences of valuations.

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