portada Introductory Notes on Valuation Rings and Function Fields in One Variable (en Inglés)

Introductory Notes on Valuation Rings and Function Fields in One Variable (en Inglés)

Formato

Libro Físico

Autor

Umberto Zannier

Renata Scognamillo

Editorial

Edizioni Della Normale

Idioma

Inglés

N° páginas

119

Encuadernación

Tapa Blanda

Dimensiones

23.6x15.2x1 cm

Peso

0.27 kg.

ISBN13

9788876425004

Categorías

Álgebra
Teoría de números
Geometría algebraica

Introductory Notes on Valuation Rings and Function Fields in One Variable (en Inglés)

Umberto Zannier (Autor) · Renata Scognamillo (Autor) · Edizioni Della Normale · Tapa Blanda

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Reseña del libro "Introductory Notes on Valuation Rings and Function Fields in One Variable (en Inglés)"

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 other viewpoints (e.g. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results. Links with arithmetic are also often indicated. There are three appendices, concerning Hilbert's Nullstellensatz (for which several proofs are provided), Puiseux series and Dedekind domains. There are also several exercises, often accompanied by hints, which sometimes develop further results not included in full for brevity reasons.