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Le Cycles And Hypersurface Singularities
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Book Synopsis Le Cycles and Hypersurface Singularities by : David Massey
Download or read book Le Cycles and Hypersurface Singularities written by David Massey and published by Springer. This book was released on 2006-11-14 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Le Cycles and Hypersurface Singularities by : David Massey
Download or read book Le Cycles and Hypersurface Singularities written by David Massey and published by . This book was released on 2014-09-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lê Cycles and Hypersurface Singularities by : David B. Massey
Download or read book Lê Cycles and Hypersurface Singularities written by David B. Massey and published by . This book was released on 1995 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Control over Complex Analytic Singularities by : David B. Massey
Download or read book Numerical Control over Complex Analytic Singularities written by David B. Massey and published by American Mathematical Soc.. This book was released on 2003 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Real and Complex Singularities by : Jean-Paul Brasselet
Download or read book Real and Complex Singularities written by Jean-Paul Brasselet and published by Springer Science & Business Media. This book was released on 2007-01-05 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Singularities II by : Jean-Paul Brasselet
Download or read book Singularities II written by Jean-Paul Brasselet and published by American Mathematical Soc.. This book was released on 2008 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is the second part of the Proceedings of the meeting "School and Workshop on the Geometry and Topology of Singularities", held in Cuemavaca, Mexico, from January 8th to 26th of 2007, in celebration of the 60th Birthday of Le Dung Trang." "This volume contains fourteen cutting-edge research articles on geometric and topological aspects of singularities of spaces and maps. By reading this volume, and the accompanying volume on algebraic and analytic aspects of singularities, the reader should gain an appreciation for the depth, breadth, and beauty of the subject, and also find a rich source of questions and problems for future study."--BOOK JACKET.
Book Synopsis Numerical Control Over Complex Analytic Singularities by : Christopher Hart
Download or read book Numerical Control Over Complex Analytic Singularities written by Christopher Hart and published by . This book was released on 2014-09-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Singularities I by : Jean-Paul Brasselet
Download or read book Singularities I written by Jean-Paul Brasselet and published by American Mathematical Soc.. This book was released on 2008 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Potential Theory and Weighted Sobolev Spaces by : Bengt O. Turesson
Download or read book Nonlinear Potential Theory and Weighted Sobolev Spaces written by Bengt O. Turesson and published by Springer Science & Business Media. This book was released on 2000-06-21 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincaré inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated. Moreover, "Kellogg lemmas" are established for various concepts of thinness. Applications of potential theory to weighted Sobolev spaces include quasi continuity of Sobolev functions, Poincaré inequalities, and spectral synthesis theorems.
Author :Alexander Degtyarev Publisher :Springer Science & Business Media ISBN 13 :9783540410881 Total Pages :284 pages Book Rating :4.4/5 (18 download)
Book Synopsis Real Enriques Surfaces by : Alexander Degtyarev
Download or read book Real Enriques Surfaces written by Alexander Degtyarev and published by Springer Science & Business Media. This book was released on 2000-10-26 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deformation classes. p. 89.
Book Synopsis Elliptic Genera and Vertex Operator Super-Algebras by : Hirotaka Tamanoi
Download or read book Elliptic Genera and Vertex Operator Super-Algebras written by Hirotaka Tamanoi and published by Springer Science & Business Media. This book was released on 1999-06-21 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras.
Book Synopsis Loeb Measures in Practice: Recent Advances by : Nigel J. Cutland
Download or read book Loeb Measures in Practice: Recent Advances written by Nigel J. Cutland and published by Springer. This book was released on 2004-10-11 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed.
Book Synopsis Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures by : Lutz Habermann
Download or read book Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures written by Lutz Habermann and published by Springer Science & Business Media. This book was released on 2000-09-14 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a new canonical metric for conformal structures. This book is accessible to readers with basic knowledge in differential geometry and global analysis. It addresses graduates and researchers.
Book Synopsis Geometric Aspects of Functional Analysis by : V.D. Milman
Download or read book Geometric Aspects of Functional Analysis written by V.D. Milman and published by Springer. This book was released on 2007-05-09 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics. These include the tighter connection with convexity and the resulting added emphasis on convex bodies that are not necessarily centrally symmetric, and the treatment of bodies which have only very weak convex-like structure. Another topic represented here is the use of new probabilistic tools; in particular transportation of measure methods and new inequalities emerging from Poincaré-like inequalities.
Book Synopsis Differentiability of Six Operators on Nonsmooth Functions and p-Variation by : R. M. Dudley
Download or read book Differentiability of Six Operators on Nonsmooth Functions and p-Variation written by R. M. Dudley and published by Springer. This book was released on 2006-12-08 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.
Book Synopsis The Red Book of Varieties and Schemes by : David Mumford
Download or read book The Red Book of Varieties and Schemes written by David Mumford and published by Springer. This book was released on 2004-02-21 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.
Book Synopsis Filtration in Porous Media and Industrial Application by : M.S. Espedal
Download or read book Filtration in Porous Media and Industrial Application written by M.S. Espedal and published by Springer Science & Business Media. This book was released on 2000-12-12 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.
