Valuations in fields of power series.

Herrera Govantes, Francisco Javier, Olalla Acosta, Miguel Angel, and Vicente Córdoba, José Luis. "Valuations in fields of power series.." Revista Matemática Iberoamericana 19.2 (2003): 467-482. <http://eudml.org/doc/39641>.

@article{HerreraGovantes2003,
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 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.},
author = {Herrera Govantes, Francisco Javier, Olalla Acosta, Miguel Angel, Vicente Córdoba, José Luis},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios topológicos; Series de potencias; Anillos conmutativos; Valoración; valuations and their generalizations; valued fields},
language = {eng},
number = {2},
pages = {467-482},
title = {Valuations in fields of power series.},
url = {http://eudml.org/doc/39641},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Herrera Govantes, Francisco Javier
AU - Olalla Acosta, Miguel Angel
AU - Vicente Córdoba, José Luis
TI - Valuations in fields of power series.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 2
SP - 467
EP - 482
AB - 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.
LA - eng
KW - Espacios topológicos; Series de potencias; Anillos conmutativos; Valoración; valuations and their generalizations; valued fields
UR - http://eudml.org/doc/39641
ER -