Good families of Drinfeld modular curves

DOI10.1112/S146115701500025XzbMath1397.11099arXiv1608.07422OpenAlexW3105658006MaRDI QIDQ3465561

Beelen, Peter, Alp Bassa, Nhut C. Nguyen

Publication date: 22 January 2016

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07422

zbMATH Keywords

elliptic curvesclass numberDrinfeld modulesDrinfeld modular towers

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Families, moduli of curves (algebraic) (14H10) Computational aspects of algebraic curves (14Q05) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• Number of points of an algebraic curve
• Drinfeld modular curves
• On the asymptotic behaviour of some towers of function fields over finite fields
• Sur la géométrie de certaines algèbres de quaternions
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound

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