Article
Valuations in fields of power series
Author/s | Herrera Govantes, Francisco Javier
Olalla Acosta, Miguel Ángel Vicente Córdoba, José Luis |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2003 |
Deposit Date | 2016-06-08 |
Published in |
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Abstract | 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 ... 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. |
Funding agencies | Junta de Andalucía Ministerio de Ciencia y Tecnología (MCYT). España |
Project ID. | FQM-218
HF2000-0044 BFM 2001–3207 |
Citation | Herrera Govantes, F.J., Olalla Acosta, M.Á. y Vicente Córdoba, J.L. (2003). Valuations in fields of power series. Revista Matemática Iberoamericana, 19 (2), 467-482. |
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