Some Artin-Schreier towers are easy

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Garcia, Arnaldo and Stichtenoth, Henning (2006) Some Artin-Schreier towers are easy. Moscow Mathematical Journal, 5 (4). ISSN 1609-4514

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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 ArtinSchreier towers. As an illustration of our method, we obtain a very simple and unified proof for the limits of some towers that attain the DrinfeldVlăduţ bound or the Zink bound.
Item Type: Article
Uncontrolled Keywords: Tower of function fields; finite field; ArtinSchreier extension; genus; rational place; limit of towers.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Henning Stichtenoth
Date Deposited: 19 Dec 2006 02:00
Last Modified: 17 Sep 2019 14:15
URI: https://research.sabanciuniv.edu/id/eprint/238

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