| 书目名称 | Combinatorial Convexity and Algebraic Geometry | | 编辑 | Günter Ewald | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades. This relation is known as the theory of toric varieties or sometimes as torus embeddings. Chapters I-IV provide a self-contained introduction to the theory of convex poly topes and polyhedral sets and can be used independently of any applications to algebraic geometry. Chapter V forms a link between the first and second part of the book. Though its material belongs to combinatorial convexity, its definitions and theorems are motivated by toric varieties. Often they simply translate algebraic geometric facts into combinatorial language. Chapters VI-VIII introduce toric va rieties in an elementary way, but one which may not, for specialists, be the most elegant. In considering toric varieties, many of the general notions of algebraic geometry occur and they can be dealt with in a concrete way. Therefore, Part 2 of the book may also serve as an introduction to algebraic geometry and preparation for farther reaching texts about this field. The prerequisites for both parts of | | 出版日期 | Textbook 1996 | | 关键词 | Dimension; Grad; Lattice; algebraic geometry; combinatorial geometry; combinatorics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-4044-0 | | isbn_softcover | 978-1-4612-8476-5 | | isbn_ebook | 978-1-4612-4044-0Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York, Inc. 1996 |
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发表于 2025-3-21 17:53:11
