| 书目名称 | Introduction to Singularities and Deformations | | 编辑 | Gert-Martin Greuel,Christoph Lossen,Eugenii Shusti | | 视频video | | | 概述 | The material is for the first time exposed from a unified point of view.Material is supplied with complete proofs (new in many cases), and can serve as source for special courses in singularity theory | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences...This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. Plane curve singularities are a classical object of study, rich of ideas and applications, which still is in the center of current research and as such provides an ideal introduction to the general theory. Deformation theory is an important technique in many branches of contemporary algebraic geometry and complex analysis. This introductory text provides the general framework of the theory while still remaining concrete. ..In the first part of the book the authors develop the relevant techniques, including the Weierstraß preparation theorem, the finite coherence theorem etc., and then treat isolated hypersurface singularities, notably the finite determinacy, classification of simple singularities and topological and anal | | 出版日期 | Book 2007 | | 关键词 | Algebra; Complex space germs; Equisingularity; Local and semi-local rings; Plane curve singularities; Ver | | 版次 | 1 | | doi | https://doi.org/10.1007/3-540-28419-2 | | isbn_softcover | 978-3-642-06658-0 | | isbn_ebook | 978-3-540-28419-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 2007 |
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发表于 2025-3-21 16:53:00
