Arithmetic actions on cyclotomic function fields期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Arithmetic actions on cyclotomic function fields

Authors:	Aristides Kontogeorgis Jacob Kenneth Ward

Affiliation:	1. Hong Kong University of Science and Technology, Hong Kong;2. University of Southern California, United States of America;1. Technomathematics Group, University of Kaiserslautern, P. O. Box 3049, 67653 Kaiserslautern, Germany;2. Instituto de Matematica e Estatistica, Universidade de Saõ Paulo, Caixa Postal 66281, Saõ Paulo, CEP 05315-970, Brazil;3. Instituto de Ciências Exatas, Departamento de Matematica, UFAM, Manaus, CEP 69077-000, Brazil;1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain;2. Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium;3. Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland

Abstract:	We derive the group structure for cyclotomic function fields obtained by applying the Carlitz action for extensions of an initial constant field. The tame and wild structures are isolated to describe the Galois action on differentials. We show that the associated invariant rings are not polynomial.

Keywords:	11G09 11R58 11R60 13N05 14H37 14H55
本文献已被 ScienceDirect 等数据库收录！