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Real and complex singularities : proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005

Author: Laurentiu Paunescu
Publisher: Singapore ; Hackensack, NJ : World Scientific, ©2007.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:
The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems. It is also an important point of reference in the development of a large part of contemporary algebra, geometry and analysis. Presented by internationally recognized experts, the collection of articles in this volume yields a significant cross-section of  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Australian-Japanese Workshop on Real and Complex Singularities (1st : 2005 : Sydney, Australia).
Real and complex singularities.
Singapore ; Hackensack, NJ : World Scientific, ©2007
(OCoLC)145733805
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Laurentiu Paunescu
ISBN: 9789812706898 9812706895 1281121525 9781281121523
OCLC Number: 173282035
Notes: "The First Australian-Japanese Workshop on Real and Complex Singularities (JARCS SYDNEY 2005) was held at the University of Sydney, Australia, during the period 5-8 September, 2005"--Page v.
Description: 1 online resource (xiii, 459 pages) : illustrations
Contents: Cover --
TOC36;CONTENTS --
Preface --
List of Participants --
Organizing Committee --
CH36;Integral curves for contact and Engel structures --
146; Introduction --
246; Preliminaries --
246;146; Basic definitions --
246;246; Vertical projections and fronts --
246;346; Horizontal projections and rotation number --
346; Reidemeister moves for contact and Engel structures --
346;146; Reidemeister moves for contact structures --
346;246; Reidemeister moves for Engel structures --
446; Classification of trivial Legendrian knots --
446;146; Characteristic foliations on a spanning disk --
446;246; Deformation of corresponding fronts --
546; Classification of horizontal loops in the standard Engel space --
546;146; Legendrian knots with singularities --
546;246; Deformations of fronts --
646; Observations --
646;146; Variants of Whitneys theorem --
646;246; General Goursat structure case --
Acknowledgements --
References --
CH36;On the realisation of a map of certain class as a desingularization map --
146; Introduction --
246; Polynomial mappings --
346; o45;minimal mappings --
446; Nash mappings --
Acknowledgements --
References --
CH36;Hermitian pairings and isolated singularities --
146; Introduction --
246; Hermitian pairings in knot theory --
346; Meromorphic connections --
446; The Gauss45;Manin connection --
546; Duality pairings --
References --
CH36;Zariskis moduli problem for plane branches and the classification of Legendre curve singularities --
146; Introduction46; --
246; How to find symplectic normal forms46; --
346; How to find differential normal forms46; --
446; Classification of simple and uni45;modal plane branches46; --
5 46; How to find contact normal forms46; --
646; Classification of simple and uni45;modal Legendre curve singularities46; --
746; Classification of 40;644; 741;45;curves46; --
846; Open questions46; --
Acknowledgements46; --
References --
CH36;Introduction to algebraic theory of multivariate interpolation --
146; Introduction --
246; Sesqui45;linear maps --
346; Zero45;dimensional subset of Cn --
446; Holonomic systems --
546; Hermite type interpolation --
646; Noetherian operators --
746; Filtered vector space --
846; The least interpolation space --
946; Examples --
Acknowledgement58; --
References --
CH36;Fundamental properties of germs of analytic mappings of an45; alytic sets and related topics --
146; Introduction --
246; Theory of order --
346; Gabrielovs theorems --
446; Open homomorphisms --
546; Inequality of the orders of products58; 40;CI45;141; --
646; Local boundedness of the constants in CIS --
746; Zero estimate --
846; Analogy between Gabrielovs theorem and 40;CI45;241; --
946; Geometric flatness along subsets --
1046; Artin approximation theorem --
1146; Arc space versions --
References --
CH36;Singularity theory of smooth mappings and its applications58; A survey for non45;specialists --
146; Introduction58; Elementary calculus --
246; Smooth functions of several variables --
346; Singularities of smooth mappings --
446; Lagrangian and Legendrian singularities --
546; Solid shapes and different.
Responsibility: editors Laurentiu Paunescu [and others].

Abstract:

The modern theory of singularities is also an important point of reference in the development of a large part of contemporary algebra, geometry and analysis. This work includes a treatment of the  Read more...

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