Classification of function fields with class number three

BİLHAN M., Buyruk D., ÖZBUDAK F.

JOURNAL OF PURE AND APPLIED ALGEBRA, vol.219, no.11, pp.5097-5116, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 219 Issue: 11
  • Publication Date: 2015
  • Doi Number: 10.1016/j.jpaa.2015.05.007
  • Journal Name: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5097-5116
  • Middle East Technical University Affiliated: Yes

Abstract

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.