Published June 8, 2016 | Version v1
Publication

Valuations in fields of power series

Citation

An error occurred while generating the citation.

Description

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.

Abstract

Junta de Andalucía

Abstract

Ministerio de Ciencia y Tecnología

Additional details

Created:
March 27, 2023
Modified:
November 30, 2023