Introductory Notes on Valuation Rings and Function Fields in One Variable Zoom

Renata Scognamillo, Umberto Zannier

Introductory Notes on Valuation Rings and Function Fields in One Variable

pp. viii-119

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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.

Ulteriori informazioni

Ulteriori informazioni

Titolo Introductory Notes on Valuation Rings and Function Fields in One Variable
Autore Renata Scognamillo, Umberto Zannier
Editing/translation No
ISBN 978-88-7642-500-4
Anno di pubblicazione 2014
Oggetto Matematica e storia della matematica
Link acquista http://www.springer.com/birkhauser/mathematics/scuola+normale+superiore/book/978-88-7642-500-4
Notes No

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