Introductory Notes on Valuation Rings and Function Fields in One Variable

Download or Read eBook Introductory Notes on Valuation Rings and Function Fields in One Variable PDF written by Renata Scognamillo and published by Springer. This book was released on 2014-07-01 with total page 125 pages. Available in PDF, EPUB and Kindle.
Introductory Notes on Valuation Rings and Function Fields in One Variable
Author :
Publisher : Springer
Total Pages : 125
Release :
ISBN-10 : 9788876425011
ISBN-13 : 8876425012
Rating : 4/5 (11 Downloads)

Book Synopsis Introductory Notes on Valuation Rings and Function Fields in One Variable by : Renata Scognamillo

Book excerpt: 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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