Sobre anéis de valorização discreta

We survey, in a self-contained way, on some algebraic and geometric aspects of discrete valuation rings. More precisely, from an algebraic point of view, we characterize these rings among local Noetherian rings; from a geometric standpoint, we show that a point on a plane algebraic curve is simple i...

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Detalles Bibliográficos
Autor: Sena, Lia Nojosa
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Institución:Universidade Federal do Ceará (UFC)
Repositorio:Repositório Institucional da Universidade Federal do Ceará (UFC)
Idioma:portugués
OAI Identifier:oai:repositorio.ufc.br:riufc/68579
Acceso en línea:http://www.repositorio.ufc.br/handle/riufc/68579
Access Level:acceso abierto
Palabra clave:Anéis de valorização discreta
Curvas algébricas planas
Discrete valuation rings
Plane algebraic curves
Descripción
Sumario:We survey, in a self-contained way, on some algebraic and geometric aspects of discrete valuation rings. More precisely, from an algebraic point of view, we characterize these rings among local Noetherian rings; from a geometric standpoint, we show that a point on a plane algebraic curve is simple if, and only if, its corresponding local ring is a discrete valuation ring.