A simplified proof for the limit of a tower over a cubic finite field
Bassa, Alp and Stichtenoth, Henning (2007) A simplified proof for the limit of a tower over a cubic finite field. Journal of Number Theory, 123 (1). pp. 154-169. ISSN 0022-314X
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Official URL: http://dx.doi.org/10.1016/j.jnt.2006.06.005
Recently Bezerra, Garcia and Stichtenoth constructed an explicit tower F = (Fn)n 0 of function fields over a finite field F q3 , whose limit λ(F) = limn→∞N(Fn)/g(Fn) attains the Zink bound λ(F) 2(q2 1)/(q + 2). 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.
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