| 書目名稱 | Local Analytic Geometry | | 副標題 | Basic Theory and App | | 編輯 | Theo Jong,Gerhard Pfister | | 視頻video | http://file.papertrans.cn/588/587591/587591.mp4 | | 概述 | Mathematisches Lehrbuch: Singularit?tentheorie | | 叢書名稱 | Advanced Lectures in Mathematics | | 圖書封面 |  | | 描述 | Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). As one often reads in prefaces of int- ductory books on algebraic geometry, it is not so easy to develop the basics of algebraic geometry without a proper knowledge of commutative algebra. On the other hand, the commutative algebra one needs is quite difficult to understand without the geometric motivation from which it has often developed. Local analytic geometry is concerned with germs of zero sets of analytic functions, that is, the study of such sets in the neighborhood of a point. It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. It would, therefore, appear to be a sensible idea to develop the two theories simultaneously. This, in fact, is not what we will do in this book, as the "commutative algebra" one needs in local analytic geometry is somewhat more difficult: one has to cope with convergence questions. The most prominent and important example is the substitution of division with remainder. Its substitution in local analytic geometry is called | | 出版日期 | Textbook 2000 | | 關鍵詞 | Algebraische Geometrie; Algebraische Kurve; Kommutative Algebra; Komplexe Analysis; Singularit?t (Math; ) | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-322-90159-0 | | isbn_softcover | 978-3-528-03137-4 | | isbn_ebook | 978-3-322-90159-0Series ISSN 0932-7134 Series E-ISSN 2512-7039 | | issn_series | 0932-7134 | | copyright | Springer Fachmedien Wiesbaden 2000 |
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