书目名称 | Handbook of Geometry and Topology of Singularities III | 编辑 | José Luis Cisneros-Molina,Lê Dũng Tráng,José Seade | 视频video | | 概述 | Presents in-depth and accessible surveys of topics in singularity theory.Ideal for interested graduate students and researchers in general, and as a reference for specialists.Encourages readers to go | 图书封面 |  | 描述 | .This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these complement topics previously explored in volumes I and II, such as, for instance, Zariski’s equisingularity, the interplay between isolated complex surface singularities and 3-manifold theory, stratified Morse theory, constructible sheaves, the topology of the non-critical levels of holomorphic functions, and intersection cohomology. Other chapters bring in new subjects, such as the Thom–Mather theory for maps, characteristic classes for singular varieties, mixed Hodge structures, residues in complex analytic varieties, nearby and vanishing cycles, and more...Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising conn | 出版日期 | Book 2022 | 关键词 | Singularity Theory; Equisingularity; Topology of Singularities; Lipschitz Geometry; Plane Curves | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-95760-5 | isbn_softcover | 978-3-030-95762-9 | isbn_ebook | 978-3-030-95760-5 | copyright | Springer Nature Switzerland AG 2022 |
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