Explicit modular towers

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We give a general recipe for explicitly constructing asymptotically optimal towers of modular curves such as {X_0(l^n): n=1,2,3,...}. We illustrate the method by giving equations for eight towers with various geometric features. We conclude by observing that such towers are all of a specific recursive form, and speculate that perhaps every tower of this form that attains the Drinfeld-Vladut bound is modular.
10 pages; presented at Allerton 1998 (see Journal-ref field)

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Number Theory, Information Theory, Algebraic Geometry, 11G18 (Primary) 14G50 (Seconday)

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http://salesiana.dossiersoluciones.com/handle/123456789/134328

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103107
 http://arxiv.org/abs/math/0103107
 Pages 23-32 in Proceedings of the Thirty-Fifth Annual Allerton Conference on Communication, Control and Computing (1997; T.Basar and A.Vardy, eds.), Univ. of Illinois at Urbana-Champaign 1998

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arXiv