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Introductory Notes on Valuation Rings and Function Fields in One Variable / by Renata Scognamillo, Umberto Zannier
(Lecture Notes. ISSN:29462983 ; 14)
版 | 1st ed. 2014. |
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出版者 | (Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale) |
出版年 | 2014 |
大きさ | VIII, 119 p : online resource |
著者標目 | *Scognamillo, Renata author Zannier, Umberto author SpringerLink (Online service) |
件 名 | LCSH:Algebra LCSH:Geometry LCSH:Number theory FREE:Algebra FREE:Geometry FREE:Number Theory |
一般注記 | Generalities on function fields of one variable -- Valuation rings -- Completions -- Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains 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 HTTP:URL=https://doi.org/10.1007/978-88-7642-501-1 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9788876425011 |
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EB00202129 |
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※2017年9月4日以降