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Explicit Constructions of Towers of Function Fields with Many Rational Places

  • Conference paper
European Congress of Mathematics

Part of the book series: Progress in Mathematics ((PM,volume 202))

Abstract

We discuss several examples of function field towers Fo C F1 C_ F2 C… over a finite field 1F1, for which the limit (number of rational places of Fn)/(genus of Fn) is positive.

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References

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Author information

Authors and Affiliations

  1. FB 6, Mathematik und Informatik, Universität GH Essen, Essen, 45117, Germany

    Henning Stichtenoth

Authors
  1. Henning Stichtenoth
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Editor information

Editors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Carles Casacuberta  & Joan Verdera  & 

  2. Departament d’Algebra i Geometria Facultat de Matemàtiques, Universitat de Barcelona, 08007, Barcelona, Spain

    Rosa Maria Miró-Roig

  3. Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, 08028, Barcelona, Spain

    Sebastià Xambó-Descamps

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© 2001 Springer Basel AG

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Stichtenoth, H. (2001). Explicit Constructions of Towers of Function Fields with Many Rational Places. In: Casacuberta, C., Miró-Roig, R.M., Verdera, J., Xambó-Descamps, S. (eds) European Congress of Mathematics. Progress in Mathematics, vol 202. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8266-8_17

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  • DOI: https://doi.org/10.1007/978-3-0348-8266-8_17

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9496-8

  • Online ISBN: 978-3-0348-8266-8

  • eBook Packages: Springer Book Archive

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