Dependent Artin-Schreier defect extensions and strong monomialization

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• 作者：Samar ElHitti ; ^{selhitti@citytech.cuny.edu" class="auth_mail" title="E-mail the corresponding author} ; Laura Ghezzi ^{lghezzi@citytech.cuny.edu" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：220
• 期：4
• 页码：1331-1342
• 全文大小：313 K

文摘

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.