Introductory Notes on Valuation Rings and Function Fields in One Variable
Book Details
Format
Paperback / Softback
Book Series
Publications of the Scuola Normale Superiore
ISBN-10
8876425004
ISBN-13
9788876425004
Publisher
Birkhauser Verlag AG
Imprint
Scuola Normale Superiore
Country of Manufacture
CH
Country of Publication
GB
Publication Date
May 11th, 2015
Print length
119 Pages
Product Classification:
AlgebraAlgebraic geometry
Ksh 3,600.00
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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. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results.
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.
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