PORTUGALIAEMATHEMATICA
Vol. 62, No. 2, pp. 231-243 (2005)
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PORTUGALIAE MATHEMATICA Vol. 62, No. 2, pp. 231-243 (2005) |
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On ramification and genus of recursive towersPeter Beelen, Arnaldo Garcia and Henning StichtenothFachbereich Mathematik, Universit{ä}t Duisburg-Essen,45117 Essen -- GERMANY E-mail: peter.beelen@uni-essen.de Instituto de Matem{á}tica Pura e Aplicada IMPA, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro RJ -- BRAZIL E-mail: garcia@impa.br FB Mathematik, Universit{ä}t Duisburg-Essen, 45117 Essen -- GERMANY Sabanci University, MDBF, Orhanli, Tuzla, 34956, Istanbul -- TURKEY E-mail: stichtenoth@uni-essen.de Abstract: We introduce the notion of the dual tower of a recursive tower of function fields over a finite field. We relate the ramification set of the tower with the one of the dual tower, for the case of good asymptotic behaviour of the genus. Keywords: function fields; finite fields; ramification; genus; recursive towers; dual towers. Classification (MSC2000): 11G20, 14H05, 14G15. Full text of the article:
Electronic version published on: 7 Mar 2008.
© 2005 Sociedade Portuguesa de Matemática
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