An equality between two towers over cubic fields

2009/05/29 by Michael E. Zieve, Zieve, Michael E.
Computer Science · Mathematics · #11G20 #11R58 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0905.4921

openalex publication_date 2009/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently Bassa, Garcia and Stichtenoth constructed a tower of function fields over GF(q³) having many rational places relative to their genera. We show that, by removing the bottom field from this tower, we obtain the same tower we would obtain by removing certain fields from a tower constructed previously by Bezerra, Garcia and Stichtenoth.

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