Introductory Notes on Valuation Rings and Function Fields in One Variable (Publications of the Scuola Normale Superiore #14) [9788876425004]

Overview

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.

The book, Introductory Notes on Valuation Rings and Function Fields in One Variable (Publications of the Scuola Normale Superiore #14) [Bulk, Wholesale, Quantity] ISBN#9788876425004 in Paperback by Renata Scognamillo, Umberto Zannier may be ordered in bulk quantities. Minimum starts at 25 copies. Availability based on publisher status and quantity being ordered.