Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 (World Scientific, 2007)
"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
Includes bibliographical references and index
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 --