Open Access
September, 2003 Valuations in fields of power series
Francisco Javier Herrera, Miguel Ángel Olalla, José Luis Vicente
Rev. Mat. Iberoamericana 19(2): 467-482 (September, 2003).


This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe the residue fields of the monomial valuations. We also classify all the discrete rank one valuations of fields of power series in two and three variables, according to their residue fields. We prove that all our cases are possible and give explicit constructions.


Download Citation

Francisco Javier Herrera. Miguel Ángel Olalla. José Luis Vicente. "Valuations in fields of power series." Rev. Mat. Iberoamericana 19 (2) 467 - 482, September, 2003.


Published: September, 2003
First available in Project Euclid: 8 September 2003

zbMATH: 1055.12004
MathSciNet: MR2023196

Primary: 12J20
Secondary: 13A18

Keywords: Power series , Valuation theory

Rights: Copyright © 2003 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.19 • No. 2 • September, 2003
Back to Top