| 书目名称 | Introduction to Plane Algebraic Curves | | 编辑 | Ernst Kunz | | 视频video | http://file.papertrans.cn/475/474039/474039.mp4 | | 概述 | Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in w | | 图书封面 |  | | 描述 | .This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed....Kunz‘s proven conception of teaching topics in commutative algebra together with their applications to algebraic geometry makes this book significantly different from others on plane algebraic curves. The exposition focuses on the purely algebraic aspects of plane curve theory, leaving the topological and analytical viewpoints in the background, with only casual references to these subjects and suggestions for further reading....Most important to this text:...* Emphasizes and utilizes the theory of filtered algebras, their graduated rings and Rees algebras, to deduce basic facts about the intersection theory of plane curves...* Presents residue theory in the affine plane and its applications to intersection theory...* Methods of proof for the Riemann–Roch theorem conform to the presentation of curve theory, formulated in the language of filtrations and associated graded rings...* Examples, exercises, figures and suggestions fo | | 出版日期 | Textbook 2005 | | 关键词 | Algebraic curve; Belshoff; Kunz; algebra; computer algebra; ksa; ring theory | | 版次 | 1 | | doi | https://doi.org/10.1007/0-8176-4443-1 | | isbn_softcover | 978-0-8176-4381-2 | | isbn_ebook | 978-0-8176-4443-7 | | copyright | Birkhäuser Boston 2005 |
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