Handbook of Geometry and Topology of Singularities II / edited by José Luis Cisneros-Molina, Dũng Tráng Lê, José Seade.

Format:

Book

Contributor:

Cisneros Molina, José Luis, editor.

Lê, Dũng Tráng, editor.

Seado, José, editor.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

Topology.

Geometry.

Local Subjects:

Topology.

Geometry.

Physical Description:

1 online resource (581 pages)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

Summary:

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.

Contents:

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.

ISBN:

3-030-78024-4

OCLC:

1283140236