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TOWERS OF FUNCTION FIELDS OVER NON-PRIME FINITE FIELDS

Bassa, Alp; Beelen, Peter; Garcia, Arnaldo; Stichtenoth, Henning


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        "affiliation": "Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey", 
        "name": "Bassa, Alp"
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      {
        "affiliation": "Tech Univ Denmark, Dept Appl Math & Comp Sci, DK-2800 Lyngby, Denmark", 
        "name": "Beelen, Peter"
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        "affiliation": "Inst Nacl Matemat Pura & Aplicada, IMPA, BR-22460320 Rio De Janeiro, RJ, Brazil", 
        "name": "Garcia, Arnaldo"
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        "affiliation": "Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey", 
        "name": "Stichtenoth, Henning"
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    "description": "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.", 
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