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portada Introductory Notes on Valuation Rings and Function Fields in One Variable
Type
Physical Book
Author
Publisher
Language
English
Pages
119
Format
Paperback
Dimensions
23.6x15.2x1 cm
Weight
0.27 kg.
ISBN13
9788876425004
Categories

Introductory Notes on Valuation Rings and Function Fields in One Variable

Umberto Zannier (Author) · Renata Scognamillo (Author) · Edizioni Della Normale · Paperback

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

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Delivery: 26 Aug - 01 Sep Shipping: 3 to 5 business days.
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Synopsis "Introductory Notes on Valuation Rings and Function Fields in One Variable"

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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