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Towers of function fields over non-prime finite fields

Bassa, Alp and Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2015) Towers of function fields over non-prime finite fields. Moscow Mathematical Journal, 15 (1). pp. 1-29. ISSN 1609-3321 (Print) 1609-4514 (Online)

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Abstract

Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvemient on all known lower bounds for Thara's quantity A(l), for l - p(n) with p prime and n > 3 odd. We relate the explicit equations to Drinfeld modular varieties.

Item Type:Article
Uncontrolled Keywords:Curves with many points; towers of function fields; genus; rational places; Ihara's constant
Subjects:Q Science > QA Mathematics
ID Code:27755
Deposited By:Henning Stichtenoth
Deposited On:16 Dec 2015 14:27
Last Modified:16 Dec 2015 14:27

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