Real and complex singularities: proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005
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| Beschreibung: | "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 -- - 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 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 these developments. The wide range of surveys includes an authoritative treatment of the deformation theory of isolated complex singularities by prize-winning researcher K Miyajima. Graduate students and even ambitious undergraduates in mathematics will find many research ideas in this volume and non-experts in mathematics can have an overview of some classic and fundamental results in singularity theory. The explanations are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature |
| Beschreibung: | 1 Online-Ressource (xiii, 459 pages) |
| ISBN: | 1281121525 9781281121523 9789812705518 9789812706898 9812705511 9812706895 |
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| 245 | 1 | 0 | |a Real and complex singularities |b proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 |c editors Laurentiu Paunescu [and others] |
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| 500 | |a "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 | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a 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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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 | ||
| 500 | |a 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 these developments. The wide range of surveys includes an authoritative treatment of the deformation theory of isolated complex singularities by prize-winning researcher K Miyajima. Graduate students and even ambitious undergraduates in mathematics will find many research ideas in this volume and non-experts in mathematics can have an overview of some classic and fundamental results in singularity theory. The explanations are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature | ||
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Datensatz im Suchindex
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| author_corporate | Australian-Japanese Workshop on Real and Complex Singularities < 2005, Sydney, Australia> |
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| author_facet | Australian-Japanese Workshop on Real and Complex Singularities < 2005, Sydney, Australia> |
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| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| spelling | Australian-Japanese Workshop on Real and Complex Singularities < 2005, Sydney, Australia> Verfasser aut Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 editors Laurentiu Paunescu [and others] Singapore World Scientific ©2007 1 Online-Ressource (xiii, 459 pages) txt rdacontent c rdamedia cr rdacarrier "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 -- - 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 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 these developments. The wide range of surveys includes an authoritative treatment of the deformation theory of isolated complex singularities by prize-winning researcher K Miyajima. Graduate students and even ambitious undergraduates in mathematics will find many research ideas in this volume and non-experts in mathematics can have an overview of some classic and fundamental results in singularity theory. The explanations are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature MATHEMATICS / Geometry / Algebraic bisacsh Singularities (Mathematics) Congresses (DE-588)1071861417 Konferenzschrift gnd-content Paunescu, Laurentiu Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=203834 Aggregator Volltext |
| spellingShingle | Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 MATHEMATICS / Geometry / Algebraic bisacsh Singularities (Mathematics) Congresses |
| subject_GND | (DE-588)1071861417 |
| title | Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 |
| title_auth | Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 |
| title_exact_search | Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 |
| title_full | Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 editors Laurentiu Paunescu [and others] |
| title_fullStr | Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 editors Laurentiu Paunescu [and others] |
| title_full_unstemmed | Real and complex singularities proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 editors Laurentiu Paunescu [and others] |
| title_short | Real and complex singularities |
| title_sort | real and complex singularities proceedings of the australian japanese workshop university of sydney australia 5 8 september 2005 |
| title_sub | proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September, 2005 |
| topic | MATHEMATICS / Geometry / Algebraic bisacsh Singularities (Mathematics) Congresses |
| topic_facet | MATHEMATICS / Geometry / Algebraic Singularities (Mathematics) Congresses Konferenzschrift |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=203834 |
| work_keys_str_mv | AT australianjapaneseworkshoponrealandcomplexsingularities2005sydneyaustralia realandcomplexsingularitiesproceedingsoftheaustralianjapaneseworkshopuniversityofsydneyaustralia58september2005 AT paunesculaurentiu realandcomplexsingularitiesproceedingsoftheaustralianjapaneseworkshopuniversityofsydneyaustralia58september2005 |