Handbook of geometry and topology of singularities IV / José Luis Cisneros Molina, Lê Dũng Tráng, José Seade, editors.
Cisneros Molina, José Luis, editor.; Lê, Dũng Tráng, editor.; Seade, J. (José), editor.
2023
QA614.58
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Title Handbook of geometry and topology of singularities IV / José Luis Cisneros Molina, Lê Dũng Tráng, José Seade, editors.
ISBN 9783031319259 (electronic bk.)
3031319257 (electronic bk.)
3031319249
9783031319242
DOI https://doi.org/10.1007/978-3-031-31925-9
Published Cham : Springer, [2023]
Copyright ©2023
Language English
Description 1 online resource (xx, 608 pages) : illustrations (some color).
Item Number 10.1007/978-3-031-31925-9 doi
Call Number QA614.58
Dewey Decimal Classification 516.3/5
Summary 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, 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 which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Cisneros Molina, José Luis, editor.
Lê, Dũng Tráng, editor.
Seade, J. (José), editor.
Available in Other Form HANDBOOK OF GEOMETRY AND TOPOLOGY OF SINGULARITIES IV.
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1 L Dng Trng and Bernard Teissier, Limits of tangents, Whitney stratifications and a Plcker type formula
2 Anne Frhbis-Krger and Matthias Zach, Determinantal singularities
3 Shihoko Ishii, Singularities, the space of arcs and applications to birational geometry
4 Hussein Mourtada, Jet schemes and their applications in singularities, toric resolutions and integer partitions
5 Wolfgang Ebeling and Sabir M. Gusein-Zade, Indices of vector fields and 1-forms
6 Shoji Yokura, Motivic Hirzebruch class and related topics
7 Guillaume Valette, Regular vectors and bi-Lipschitz trivial stratifications in o-minimal structures
8 Lev Birbrair and Andrei Gabrielov, Lipschitz Geometry of Real Semialgebraic Surfaces
9 Alexandre Fernandes and Jos Edson Sampaio, Bi-Lipschitz invariance of the multiplicity
10 Lorenzo Fantini and Anne Pichon, On Lipschitz Normally Embedded singularities
11 Ana Bravo and Santiago Encinas, Hilbert-Samuel multiplicity and finite projections
12 Francisco J. Castro-Jimnez, David Mond and Luis Narvez-Macarro, Logarithmic Comparison Theorems.

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