Classification of function fields with class number three

BİLHAN M., Buyruk D., ÖZBUDAK F.

JOURNAL OF PURE AND APPLIED ALGEBRA, cilt.219, sa.11, ss.5097-5116, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 219 Sayı: 11
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.jpaa.2015.05.007
  • Dergi Adı: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5097-5116
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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. (C) 2015 Elsevier B.V. All rights reserved.