Handbook of Geometry and Topology of Singularities II -

Handbook of Geometry and Topology of Singularities II

Buch | Hardcover
XII, 578 Seiten
2021 | 2021
Springer International Publishing (Verlag)
978-3-030-78023-4 (ISBN)
181,89 inkl. MwSt
This is the second volume of the Handbook of the 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 some of the foundational aspects of singularity theory and related topics.

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, and 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 tograduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

lt;p>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.

D ng 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.

Preface.- Contents.- Chapter 1 The Analytic Classificatio of Irreducible Plane Curve Singularities.- Chapter 2 Plane algebraic curves with prescribed singularities.- Chapter 3 Limit of tangents on complex surfaces.- Chapter 4 Algebro-geometric equisingularity of Zariski.- Chapter 5 Intersection homology.- Chapter 6 Milnor's fibratio theorem for real and complex singularities.- Chapter 7 Lê Cycles and Numbers of hypersurface singularities.- Chapter 8 Introduction to mixed hypersurface singularity.  - Chapter 9 From Singularities to Polyhedral Products.- Chapter 10 Complements to ample divisors and Singularities.- Index.

Erscheinungsdatum
Zusatzinfo XII, 578 p. 38 illus., 23 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 1045 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Equisingularity • Lipschitz Geometry • plane curves • singularity theory • Topology of singularities
ISBN-10 3-030-78023-6 / 3030780236
ISBN-13 978-3-030-78023-4 / 9783030780234
Zustand Neuware
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