Numerical Control Over Complex Analytic Singularities

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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 : Laurentiu Paunescu
language : en
Publisher: World Scientific
Release Date : 2007

Real And Complex Singularities written by Laurentiu Paunescu 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 with Mathematics categories.

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.

Real And Complex Singularities

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Author : James William Bruce
language : en
Publisher: CRC Press
Release Date : 1999-08-26

Real And Complex Singularities written by James William Bruce and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-26 with Mathematics categories.

The boundaries of singularity theory are broad and vague, connecting the most important applications of mathematics and science with more abstract areas. Optics, robotics, computer vision, Hamiltonian mechanics, bifurcation theory and differential equations are among the variety of topics that benefit from developments in the theory. With singularity theory encompassing more and more applications, Real and Complex Singularities provides insight into the future of this expanding field. Comprising refereed contributions to the Fifth Workshop on Real and Complex Singularities, this volume addresses three important areas related to the broad subject of singularities. The first section deals with questions within singularity theory itself, representing the topics currently being investigated. The second explores applications of singularity theory to differential geometry, robotics, and computer vision. The final section consists of applications to bifurcation theory and dynamical systems. With over two-hundred tables that provide quick access to data, this volume is a complete overview of the most current topics and applications of singularity theory. Real and Complex Singularities creates the opportunity for you to stay up-to-date with recent advances and discover promising directions for future research in the field.

A Panorama Of Singularities

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Author : Francisco-Jesús Castro-Jiménez
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-01-13

A Panorama Of Singularities written by Francisco-Jesús Castro-Jiménez 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 2020-01-13 with Education categories.

This volume contains the proceedings of the conference A Panorama on Singular Varieties, celebrating the 70th birthday of Lê Dũng Tráng, held from February 7–10, 2017, at the University of Seville, IMUS, Seville, Spain. The articles cover a wide range of topics in the study of singularities and should be of great value to graduate students and research faculty who have a basic background in the theory of singularities.

Representation Theory And Numerical Af Invariants

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Author : Ola Bratteli
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Representation Theory And Numerical Af Invariants written by Ola Bratteli 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 2004 with Mathematics categories.

Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.

Infinite Dimensional Complex Symplectic Spaces

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Author : William Norrie Everitt
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Infinite Dimensional Complex Symplectic Spaces written by William Norrie Everitt 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 2004 with Mathematics categories.

Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-contained investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality.

The Mathematical Legacy Of Leon Ehrenpreis

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Author : Irene Sabadini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-23

The Mathematical Legacy Of Leon Ehrenpreis written by Irene Sabadini 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 2012-04-23 with Mathematics categories.

Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which were his collaborators.

Exceptional Vector Bundles Tilting Sheaves And Tilting Complexes For Weighted Projective Lines

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Author : Hagen Meltzer
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Exceptional Vector Bundles Tilting Sheaves And Tilting Complexes For Weighted Projective Lines written by Hagen Meltzer 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 2004 with Mathematics categories.

Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.

The Ro G Graded Equivariant Ordinary Homology Of G Cell Complexes With Even Dimensional Cells For G Mathbb Z P

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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :

The Ro G Graded Equivariant Ordinary Homology Of G Cell Complexes With Even Dimensional Cells For G Mathbb Z P written by 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 with categories.