Le Cycles And Hypersurface Singularities
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Le Cycles And Hypersurface Singularities
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Author : David Massey
language : en
Publisher: Springer
Release Date : 2006-11-14
Le Cycles And Hypersurface Singularities written by David Massey and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface. The Lê cycles and their multiplicities - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The Lê numbers control many topological and geometric properties of such non-isolated hypersurface singularities. This book is intended for graduate students and researchers interested in complex analytic singularities.
Le Cycles And Hypersurface Singularities
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Author : David Massey
language : en
Publisher:
Release Date : 2014-09-01
Le Cycles And Hypersurface Singularities written by David Massey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
L Cycles And Hypersurface Singularities
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Author : David B. Massey
language : en
Publisher:
Release Date : 1995
L Cycles And Hypersurface Singularities written by David B. Massey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Functions of several complex variables categories.
Numerical Control Over Complex Analytic Singularities
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Author : David B. Massey
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Numerical Control Over Complex Analytic Singularities written by David B. Massey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Generalizes the Le cycles and numbers to the case of hyper surfaces inside arbitrary analytic spaces. This book defines the Le-Vogel cycles and numbers, and prove that the Le-Vogel numbers control Thom's $a_f$ condition. It describes the relationship between the Euler characteristic of the Milnor fibre and the Le-Vogel numbers.
Numerical Control Over Complex Analytic Singularities
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Author : Christopher Hart
language : en
Publisher:
Release Date : 2014-09-11
Numerical Control Over Complex Analytic Singularities written by Christopher Hart and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Analytic sheaves categories.
Overview Part I. Algebraic Preliminaries: Gap Sheaves and Vogel Cycles: Introduction Gap sheaves Gap cycles and Vogel cycles The Le-Iomdine-Vogel formulas Summary of Part I Part II. Le Cycles and Hypersurface Singularities: Introduction Definitions and basic properties Elementary examples A handle decomposition of the Milnor fibre Generalized Le-Iomdine formulas Le numbers and hyperplane arrangements Thom's $a_f$ condition Aligned singularities Suspending singularities Constancy of the Milnor fibrations Another characterization of the Le cycles Part III. Isolated Critical Points of Functions on Singular Spaces: Introduction Critical avatars The relative polar curve The link between the algebraic and topological points of view The special case of perverse sheaves Thom's $a_f$ condition Continuous families of constructible complexes Part IV. Non-Isolated Critical Points of Functions on Singular Spaces: Introduction Le-Vogel cycles Le-Iomdine formulas and Thom's condition Le-Vogel cycles and the Euler characteristic Appendix A. Analytic cycles and intersections Appendix B. The derived category Appendix C. Privileged neighborhoods and lifting Milnor fibrations References Index.
Real And Complex Singularities
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Author : Jean-Paul Brasselet
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-05
Real And Complex Singularities written by Jean-Paul Brasselet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.
This volume collects papers presented at the eighth São Carlos Workshop on Real and Complex Singularities, held at the IML, Marseille, July 2004. Like the workshop, this collection establishes the state of the art and presents new trends, new ideas and new results in all of the branches of singularities. Real and Complex Singularities offers a useful summary of leading ideas in singularity theory, and inspiration for future research.
Singularities And Topology Of Hypersurfaces
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Author : Alexandru Dimca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Singularities And Topology Of Hypersurfaces written by Alexandru Dimca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Singularities Ii
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Author : Jean-Paul Brasselet
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Singularities Ii written by Jean-Paul Brasselet and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Singularities (Mathematics) categories.
Singularities In Geometry And Topology Proceedings Of The Trieste Singularity Summer School And Workshop
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Author : Jean-paul Brasselet
language : en
Publisher: World Scientific
Release Date : 2007-01-16
Singularities In Geometry And Topology Proceedings Of The Trieste Singularity Summer School And Workshop written by Jean-paul Brasselet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-16 with Mathematics categories.
Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
Singularities I
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Author : Jean-Paul Brasselet
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Singularities I written by Jean-Paul Brasselet and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Singularities (Mathematics) categories.