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Titlebook: Introductory Notes on Valuation Rings and Function Fields in One Variable; Renata Scognamillo,Umberto Zannier Textbook 2014 Edizioni della

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書目名稱Introductory Notes on Valuation Rings and Function Fields in One Variable
編輯Renata Scognamillo,Umberto Zannier
視頻videohttp://file.papertrans.cn/475/474473/474473.mp4
概述Provides the basic theory of valuation rings and shows applications to many issues treated only individually in other books.Presents the theory of valuation rings in an elementary and general way and
叢書名稱Publications of the Scuola Normale Superiore
圖書封面Titlebook: Introductory Notes on Valuation Rings and Function Fields in One Variable;  Renata Scognamillo,Umberto Zannier Textbook 2014 Edizioni della
描述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.
出版日期Textbook 2014
關(guān)鍵詞Dedekind domains; Hilbert‘s Nullstellensatz; Puiseux series; valuation rings
版次1
doihttps://doi.org/10.1007/978-88-7642-501-1
isbn_softcover978-88-7642-500-4
isbn_ebook978-88-7642-501-1Series ISSN 2239-1460 Series E-ISSN 2532-1668
issn_series 2239-1460
copyrightEdizioni della Normale 2014
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沙發(fā)
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Valuation rings,. Let . be a field. We say that a subring . ? . is a . if
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978-88-7642-500-4Edizioni della Normale 2014
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https://doi.org/10.1007/978-88-7642-501-1Dedekind domains; Hilbert‘s Nullstellensatz; Puiseux series; valuation rings
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