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A Class of Artin-Schreier Towers with Finite Genus |
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| Authors: | San Ling Henning Stichtenoth Siman Yang |
| Institution: | 1. Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637616, SINGAPORE 2. Fachbereich Mathematik, Universit?t Duisburg-Essen, Campus Essen, 45117, Essen, GERMANY 3. Sabanci University, MDBF, Orhanli, Tuzla 34956, Istanbul, TURKEY 4. Department of Mathematics, East China Normal University, Shanghai, 200062, P.R. CHINA |
| Abstract: | We study the asymptotic behaviour of the genus in some Artin-Schreier towers of function fields over a finite field, and we present a new class of Artin-Schreier towers having finite genus. |
| Keywords: | function fields finite fields towers of function fields Artin-Schreier extensions of function fields |
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