Introductory Notes on Valuation Rings and Function Fields in One Variable (Publications of the Scuola Normale Superiore, 14, Band 14) - Softcover

Scognamillo, Renata; Zannier, Umberto

 
9788876425004: Introductory Notes on Valuation Rings and Function Fields in One Variable (Publications of the Scuola Normale Superiore, 14, Band 14)
Softcover
ISBN 10: 8876425004 ISBN 13: 9788876425004
Verlag: Edizioni della Normale, 2015

Inhaltsangabe

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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Verlag
Edizioni della Normale
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
8876425004
ISBN 13 
9788876425004
Einband
Taschenbuch
Anzahl der Seiten
127
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