书目名称 | Handbook of Geometry and Topology of Singularities IV | 编辑 | José Luis Cisneros-Molina,Lê Dũng Tráng,José Seade | 视频video | | 概述 | Presents in-depth surveys of topics in singularity theory, including connections with other subjects.Ideal for graduate students and newcomers to the area, and as a reference for specialists.Emphasize | 图书封面 |  | 描述 | .This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that 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 twelve 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 to III. Amongst the topics studied in this volume are the Nash blow up, the space of arcs in algebraic varieties, determinantal singularities, Lipschitz geometry, indices of vector fields and 1-forms, motivic characteristic classes, the Hilbert-Samuel multiplicity and comparison theorems that spring from the classical De Rham complex...Singularities are ubiquitous in mathematics and science in general. Singularity theory is a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics whic | 出版日期 | Book 2023 | 关键词 | Singularity Theory; Equisingularity; Topology of Singularities; Plane Curves; Lipschitz Geometry; Nash bl | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-31925-9 | isbn_softcover | 978-3-031-31927-3 | isbn_ebook | 978-3-031-31925-9 | copyright | Springer Nature Switzerland AG 2023 |
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