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Handbook of Geometry and Topology of Singularities I

Handbook of Geometry and Topology of Singularities I
Catalogue Information
Field name Details
Dewey Class 516.35
Title Handbook of Geometry and Topology of Singularities I ([EBook]) / edited by José Luis Cisneros Molina, Dũng Tráng Lê, José Seade.
Added Personal Name Cisneros-Molina, José Luis
Lê, Dũng Tráng
Seade, José
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2020.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details XVIII, 601 p. 128 illus., 54 illus. in color. : online resource.
ISBN 9783030530617
Summary Note 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.:
Contents note Foreword -- Preface -- 1 The Combinatorics of Plane Curve Singularities -- 2 The Topology of Surface Singularities -- 3 Resolution of Singularities: an Introduction -- 4 Stratification Theory -- 5 Morse Theory, Stratification and Sheaves -- 6 The Topology of the Milnor Fibration -- 7 Deformation and Smoothing of Singularities -- 8 Distinguished Bases and Monodromy of Complex Hypersurface Singularities -- 9 The Lefschetz Theorem for Hyperplane Sections -- 10 Finite Dimensional Lie Algebras in Singularities. -Index.
Mode of acces to digital resource Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note - Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-53061-7
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