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Introductory Notes on Valuation Rings and Function Fields in One Variable

The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory of algebraic curves and their function fields. The correspondences of this with...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Scognamillo, Renata (Autor), Zannier, Umberto (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes (Scuola Normale Superiore), 14
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Generalities on function fields of one variable
  • Valuation rings
  • Completions
  • Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains.