Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2022.tde-09082022-150951
Document
Author
Full name
Michael Willyans Borges de Moraes
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2022
Supervisor
Committee
Borges Filho, Herivelto Martins (President)
Carvalho, Cícero Fernandes de
Esteves, Eduardo de Sequeira
Miranda Neto, Cleto Brasileiro
Carvalho, Cícero Fernandes de
Esteves, Eduardo de Sequeira
Miranda Neto, Cleto Brasileiro
Title in English
Theory of key polynomials
Keywords in English
Defect of a valuation
Local uniformization
p-polynomials
Theory of key polynomials
Valuation theory
Local uniformization
p-polynomials
Theory of key polynomials
Valuation theory
Abstract in English
There is a central question on valuation theory: given a rank one valuation on a field K, what can we talk about of an extension of to the polynomial ring K[X]? The theory of key polynomials is an approach to treat exactly this issue.
Title in Portuguese
Teoria dos polinômios chave
Keywords in Portuguese
Defeito de uma valorização
p-polinômios
Teoria de valorizações
Teoria dos polinômios chave
Uniformização local
p-polinômios
Teoria de valorizações
Teoria dos polinômios chave
Uniformização local
Abstract in Portuguese
Existe uma questão central na teoria de valorizações: dada uma valorização de posto um em um corpo K, o que podemos dizer a respeito de uma extensão de ao anel de polinômios K[X]? A teoria dos polinômios chave é uma abordagem para tratar exatamente esta questão.
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Publishing Date
2022-08-09
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