Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2022.tde-25042022-143331
Document
Author
Full name
Abraham Rojas Vega
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2022
Supervisor
Committee
Borges Filho, Herivelto Martins (President)
Carvalho, Cícero Fernandes de
Conte, Luciane Quoos
Levcovitz, Daniel
Carvalho, Cícero Fernandes de
Conte, Luciane Quoos
Levcovitz, Daniel
Title in Portuguese
Automorfismos de curvas de Artin-Schreier
Keywords in Portuguese
Corpos de funções algébricas
Curvas algébricas
Grupo de automorfismos
Curvas algébricas
Grupo de automorfismos
Abstract in Portuguese
Vamos usar a teoria de Corpos de Funções Algébricas em uma variável para estudar o grupo de automorfismos de curvas de Artin-Schreier, definidas sobre um corpo K algebricamente fechado de característica positiva. Nesse processo também estudaremos os subgrupos finitos de PGL(2;K).
Title in English
Automorphisms of Artin-Schreier curves
Keywords in English
Algebraic curves
Algebraic function fields
Automorphism Group
Algebraic function fields
Automorphism Group
Abstract in English
We use the theory of Algebraic Functions Fields in one variable to study the automorphism group of Artin-Schreier curves, defined over an algebraically closed field K of positive characteristic. In this process we also study the finite subgroups of PGL(2;K).
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Publishing Date
2022-04-25
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