| 书目名称 | Introductory Notes on Valuation Rings and Function Fields in One Variable |
| 编辑 | Renata Scognamillo,Umberto Zannier |
| 视频video | |
| 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 |
| 丛书名称 | Publications of the Scuola Normale Superiore |
| 图书封面 |  |
| 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 |
| 关键词 | Dedekind domains; Hilbert‘s Nullstellensatz; Puiseux series; valuation rings |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-88-7642-501-1 |
| isbn_softcover | 978-88-7642-500-4 |
| isbn_ebook | 978-88-7642-501-1Series ISSN 2239-1460 Series E-ISSN 2532-1668 |
| issn_series | 2239-1460 |
| copyright | Edizioni della Normale 2014 |
发表于 2025-3-21 17:38:40
