书目名称 | Introduction to Singularities | 编辑 | Shihoko Ishii | 视频video | | 概述 | Presents a unique combination of birational geometry, traditional local aspects of singularities, and new developments in research on singularities.Shows concise introductions of tools for study of si | 图书封面 |  | 描述 | .This book is an introduction to singularities for graduate students and researchers..Algebraic geometry is said to have 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. First, mostly non-singular varieties were studied. 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. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This bookis a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, so | 出版日期 | Textbook 2018Latest edition | 关键词 | Canonical divisors; Classification of singularities; Mixed Hodge structure; Resolution; Singularities | 版次 | 2 | doi | https://doi.org/10.1007/978-4-431-56837-7 | isbn_softcover | 978-4-431-56871-1 | isbn_ebook | 978-4-431-56837-7 | copyright | Springer Japan KK, part of Springer Nature 2018 |
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