Overview
Presents in-depth and accessible surveys of topics in singularity theory, including their interrelationships and connections with other subjects
Ideal for graduate students and researchers in general who want to learn about this active field, and as a reference for specialists
Emphasizes clarity and quality of exposition rather than technical details
Encourages readers to go deeper into the subject by offering illuminating insights and useful bibliographies
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways.
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 connections are born and simple questions lead to ideas which resonate in other parts of the subject.
This is the first volume in 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.
The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.Editors and Affiliations
About the editors
José Luis Cisneros-Molina (PhD, University of Warwick 1999) is a full-time researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research interests are in Algebraic and Differential Topology, Differential Geometry and Singularity Theory, with a particular focus on generalizations of Milnor Fibrations for complex and real analytic maps.
Dũng Tráng Lê (PhD, University of Paris 1969) is an Emeritus Professor at Aix-Marseille University. Previously he was Professor at the Universities of Paris VII (1975—1999) and Marseille, and was head of Mathematics at the ICTP at Trieste. One of the founders of modern Singularity Theory, he has made numerous contributions to morsification, the topology of complex singularities, polar varieties, carousels, among other topics.
José Seade (DPhil, University of Oxford 1980) is a full-time researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research is in the theory of indices of vector fields and Chern classes for singular varieties, with applications to foliations, and Milnor’s fibration theorem for analytic maps. In 2007 he was awarded the Ferran Sunyer i Ballaguer prize.
Bibliographic Information
Book Title: Handbook of Geometry and Topology of Singularities I
Editors: José Luis Cisneros Molina, Dũng Tráng Lê, José Seade
DOI: https://doi.org/10.1007/978-3-030-53061-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-53060-0Published: 25 October 2020
Softcover ISBN: 978-3-030-53063-1Published: 26 October 2021
eBook ISBN: 978-3-030-53061-7Published: 24 October 2020
Edition Number: 1
Number of Pages: XVIII, 601
Number of Illustrations: 74 b/w illustrations, 54 illustrations in colour
Topics: Algebraic Geometry, Topological Groups, Lie Groups, Several Complex Variables and Analytic Spaces, Projective Geometry, Topology