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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Bibliographic Details
Main Authors: Scognamillo, Renata (Author), Zannier, Umberto (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014.
Series:Publications of the Scuola Normale Superiore ; 14
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Generalities on function fields of one variable
  • Valuation rings
  • Completions
  • Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains.