Classification of function fields with class number three

BİLHAN, Mehpare; Buyruk, Dilek; ÖZBUDAK, FERRUH

doi:10.1016/j.jpaa.2015.05.007

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, Scopus)

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.