Classification of function fields with class number three

• Mehpare Bilhan ^[1] ; Dilek Buyruk ^[2] ; Ferruh Özbudak ^[1]
  1. [1] Middle East Technical University

     Middle East Technical University

     Turquía

     
  2. [2] Abant Izzet Baysal University

     Abant Izzet Baysal University

     Turquía

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 11 (November 2015), 2015, págs. 5097-5116
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.05.007
• Enlaces
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• Resumen

  • We give the full list of all algebraic function fields over a finite field with class number three up to isomorphism. Our list consists of explicit equations of algebraic function fields which are mutually non-isomorphic over the full constant field.