| 书目名称 | Introduction to Singularities | | 编辑 | Shihoko Ishii | | 视频video | | | 概述 | Is a unique book that combines birational geometry, traditional local aspects of singularities, and new developments in research on singularities.Shows the origin of recent dramatic developments in re | | 图书封面 |  | | 描述 | .This book is an introduction to singularities for graduate students and researchers..It is said that algebraic geometry originated in the seventeenth century with the famous work .Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences. by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. Most of them were about non-singular varieties. Singularities were considered “bad” objects that interfered with knowledge of the structure of an algebraic variety. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. Another example is that the moduli spaces of varieties have natural compactification, the boundaries of which correspond to singular varieties. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting a | | 出版日期 | Textbook 20141st edition | | 关键词 | Canonical divisors; Classification of singularities; Mixed Hodge structure; Resolution; Singularities | | 版次 | 1 | | doi | https://doi.org/10.1007/978-4-431-55081-5 | | isbn_softcover | 978-4-431-56261-0 | | isbn_ebook | 978-4-431-55081-5 | | copyright | Springer Japan 2014 |
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发表于 2025-3-21 20:08:43
