On towers of function fields of Artin-Schreier type期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On towers of function fields of Artin-Schreier type

Authors:	Peter?Beelen author-information" > author-information__contact u-icon-before" > mailto:peter.beelen@uni-essen.de" title=" peter.beelen@uni-essen.de" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Arnaldo?Garcia,Henning?Stichtenoth

Affiliation:	(1) Fachbereich 6 Mathematik, Universität Duisburg-Essen, 45117 Essen, GERMANY;(2) Instituto de Matemática Pura e Aplicada—IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro RJ, BRAZIL;(3) Fachbereich 6 Mathematik, Universität Duisburg-Essen, 45117 Essen, GERMANY;(4) Sabanci University MDBF, Orhanli, Tuzla, 34956 Istanbul, TURKEY

Abstract:	In this article we derive strong conditions on the defining equations of asymptotically good Artin-Schreier towers. We will show that at most three kinds of defining equations can give rise to a recursively defined good tower, if we restrict ourselves to prime degrees. ¹A. Garcia and H. Stichtenoth did part of thiswork during their stay at Sabanci University, Istanbul, Turkey (Sept. 2002). ²A. Garcia was partially supported by PRONEX # 662408/1996-3 (CNPq-Brazil).

Keywords:	function fields finite fields towers of function fields rational places genus limits of towers Artin-Schreier extensions
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