Hidden Bibliographic Details
| Other authors / contributors: | Zannier, U. (Umberto), 1957- author.
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| ISBN: | 9788876425011
8876425012
8876425004
9788876425004
9788876425004
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| Notes: | Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed July 14, 2014).
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| Summary: | 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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| Other form: | Printed edition: 9788876425004
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| Standard no.: | 10.1007/978-88-7642-501-1
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