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Title Topics on real and complex singularities : proceedings of the 4th Japanese-Australian Workshop (JARCS4), Kobe, Japan, 22-25 November 2011 / editors: Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu, Adam Harris, Alexander Isaev
Published Singapore ; Hackensack, NJ : World Scientific, [2014]
©2014

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Description 1 online resource (x, 201 pages)
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 map-germs 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 quasi-homogeneous singularities / S. Tajima
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 Japanese-Australian Workshop on Real and Complex Singularities held
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
Notes Print version record
Subject Singularities (Mathematics) -- Congresses
MATHEMATICS -- Geometry -- General.
Singularities (Mathematics)
Genre/Form Conference papers and proceedings
Form Electronic book
Author Satoshi Koike, editor
Fukui, Toshizumi, editor
Paunescu, Laurentiu, editor
Harris, Adam, editor
Isaev, Alexander, editor
ISBN 9789814596046
9814596043