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Introductory Notes on Valuation Rings and Function Fields in One Variable - Umberto Zannier,Renata Scognamillo

englanti
2015-05-11
42,27 € 56,36 €

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Toimitus 28-34 arkipäivässä

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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 ... Täydellinen kuvaus

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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 reasons.

Lisätietoja

Kirjoittaja Umberto Zannier, Renata Scognamillo
Julkaisija Scuola Normale Superiore
Julkaisuvuosi 2015
Kannen tyyppi Pehmeäkantinen
EAN 9788876425004
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Arvostelet: Introductory Notes on Valuation Rings and Function Fields in One Variable
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42,27 € 56,36 €