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Moscow Mathematical Journal, 2005, Volume 5, Number 4, Pages 767–774
DOI: https://doi.org/10.17323/1609-4514-2005-5-4-767-774 (Mi mmj221) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Some Artin–Schreier towers are easy

A. Garciaa, H. Stichtenothbc

a Instituto Nacional de Matemática Pura e Aplicada
b University of Duisburg-Essen
c Sabanci University
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DOI: https://doi.org/10.17323/1609-4514-2005-5-4-767-774
Abstract: Towers of function fields (resp., of algebraic curves) with positive limit provide examples of curves with large genus having many rational points over a finite field. It is in general a difficult task to calculate the genus of a wild tower. In this paper, we present a method for calculating the genus of certain Artin–Schreier towers. As an illustration of our method, we obtain a very simple and unified proof for the limits of some towers that attain the Drinfeld–Vlǎdut̨ bound or the Zink bound.
Key words and phrases: Tower of function fields, finite field, Artin–Schreier extension, genus, rational place, limit of towers.
Received: March 9, 2005
Bibliographic databases:
MSC: 11R58, 14H05, 11D59, 14G15
Language: English
Citation: A. Garcia, H. Stichtenoth, “Some Artin–Schreier towers are easy”, Mosc. Math. J., 5:4 (2005), 767–774
Citation in format AMSBIB
\Bibitem{GarSti05}
\by A.~Garcia, H.~Stichtenoth
\paper Some Artin--Schreier towers are easy
\jour Mosc. Math.~J.
\yr 2005
\vol 5
\issue 4
\pages 767--774
\mathnet{http://mi.mathnet.ru/mmj221}
\crossref{https://doi.org/10.17323/1609-4514-2005-5-4-767-774}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2266458}
\zmath{https://zbmath.org/?q=an:1124.11053}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208595600004}
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    • This publication is cited in the following 10 articles:
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