A simplified proof for the limit of a tower over a cubic finite field
- 作者：Alp Bassa ; Henning Stichtenoth
- 关键词：Towers of function fields ; Genus ; Rational places ; Limits of towers ; Zink's bound
- 刊名：Journal of Number Theory
- 出版年：2007
- 期刊代码：78_0022314x
- 类别：mt
- 出版时间：March 2007
- 卷：123
- 期：1
- 页码：154-169
- 文件大小：246 K
摘要
Recently Bezerra, Garcia and Stichtenoth constructed an explicit tower of function fields over a finite field , whose limit attains the Zink bound . Their proof is rather long and very technical. In this paper we replace the complex calculations in their work by structural arguments, thus giving a much simpler and shorter proof for the limit of the Bezerra, Garcia and Stichtenoth tower.