Topics on real and complex singularities : proceedings of the 4th JapaneseAustralian Workshop (JARCS4), Kobe, Japan, 2225 November 2011
 Responsibility
 editors: Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu, Adam Harris, Alexander Isaev.
 Publication
 Singapore ; Hackensack, NJ : World Scientific, [2014]
 Copyright notice
 ©2014
 Physical description
 1 online resource (x, 201 pages)
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Creators/Contributors
 Contributor
 Satoshi Koike, editor.
 Fukui, Toshizumi, editor.
 Paunescu, Laurentiu, editor.
 Harris, Adam, editor.
 Isaev, Alexander, editor.
Contents/Summary
 Bibliography
 ReferencesFronts of weighted cones; 1. Fronts of cones; 2. Weighted cones; 2.1. Unit normals and fundamental forms; 2.2. Curvatures of weighted cones; 2.3. Ridge points, subparabolic points and fronts of weighted cones; 2.4. Principal directions of weighted cones; 3. Focal curves: Case (w1, w2, w3) = (1, 2, 2); 4. Examples; References; Involutive deformations of the regular part of a normal surface; 1. Introduction; 2. Involutive deformations of surfaces; 3. Some remarks on Stein completion; References; Connected components of regular fibers of differentiable maps; 1. Introduction.
 Contents

 On the CR Hamiltonian flows and CR Yamabe problem / T. Akahori
 An example of the reduction of a single ordinary differential equation to a system, and the restricted Fuchsian relation / K. Ando
 Fronts of weighted cones / T. Fukui and M. Hasegawa
 Involutive deformations of the regular part of a normal surface / A. Harris and K. Miyajima
 Connected components of regular fibers of differentiable maps / J.T. Hiratuka and O. Saeki
 The reconstruction and recognition problems for homogeneous hypersurface singularities / A.V. Isaev
 Openings of differentiable mapgerms and unfoldings / G. Ishikawa
 Non concentration of curvature near singular points of two variable analytic functions / S. Koike, T.C. Kuo and L. Paunescu
 Saito free divisors in four dimensional affine space and reflection groups of rank four / J. Sekiguchi
 Holonomic systems of differential equations of rank two with singularities along Saito free divisors of simple type / J. Sekiguchi
 Parametric local cohomology classes and Tjurina stratifications for [symbol]constant deformations of quasihomogeneous singularities / S. Tajima.
 Publisher's summary

A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point, or a singular point. The purpose of singularity theory is to explore the properties of singular points of functions and mappings.This is a volume on the proceedings of the fourth JapaneseAustralian Workshop on Real and Complex Singularities held in Kobe, Japan. It consists of 11 original articles on singularities. Readers will be introduced to some important new notions for characterizations of singularities and several interesting results are delivered. In addition, current approaches to classical topics and stateoftheart effective computational methods of invariants of singularities are also presented. This volume will be useful not only to the singularity theory specialists but also to general mathematicians.
(source: Nielsen Book Data)
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Bibliographic information
 Publication date
 2014
 ISBN
 9789814596046 (electronic bk.)
 9814596043 (electronic bk.)
 9789814596039
 9814596035