Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Complex Analytic Singularities
Download Complex Analytic Singularities full books in PDF, epub, and Kindle. Read online Complex Analytic Singularities ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Complex Analytic Desingularization by : José Manuel Aroca
Download or read book Complex Analytic Desingularization written by José Manuel Aroca and published by Springer. This book was released on 2018-11-03 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: [From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near “worst” singular points of a complex analytic space obtained by successive “permissible” blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely near points have disappeared, and this is essentially enough to obtain resolution of singularities. Hironaka’s ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry. In addition, the book contains an elegant presentation of all the prerequisites of complex analytic geometry, including basic definitions and theorems needed to follow the development of ideas and proofs. Its epilogue presents the use of similar ideas in the resolution of singularities of complex analytic foliations. This text will be particularly useful and interesting for readers of the younger generation who wish to understand one of the most fundamental results in algebraic and analytic geometry and invent possible extensions and applications of the methods created to prove it.
Book Synopsis Singularities of Mappings by : David Mond
Download or read book Singularities of Mappings written by David Mond and published by Springer Nature. This book was released on 2020-01-23 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic. By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
Book Synopsis Complex Analytic Singularities by : Tatsuo Suwa
Download or read book Complex Analytic Singularities written by Tatsuo Suwa and published by Kinokuniya Company Limited. This book was released on 1987 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains recent advances in the field of the theory of Complex Analytic Singularities and Algebraic Geometry, presented by Japanese and foreign mathematicians.
Book Synopsis On the Topology of Isolated Singularities in Analytic Spaces by : José Seade
Download or read book On the Topology of Isolated Singularities in Analytic Spaces written by José Seade and published by Springer Science & Business Media. This book was released on 2006-03-21 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations.
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 Introduction to Singularities and Deformations by : Gert-Martin Greuel
Download or read book Introduction to Singularities and Deformations written by Gert-Martin Greuel and published by Springer Science & Business Media. This book was released on 2007-02-23 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.
Book Synopsis Introduction to Complex Analytic Geometry by : Stanislaw Lojasiewicz
Download or read book Introduction to Complex Analytic Geometry written by Stanislaw Lojasiewicz and published by Birkhäuser. This book was released on 2013-03-09 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: facts. An elementary acquaintance with topology, algebra, and analysis (in cluding the notion of a manifold) is sufficient as far as the understanding of this book is concerned. All the necessary properties and theorems have been gathered in the preliminary chapters -either with proofs or with references to standard and elementary textbooks. The first chapter of the book is devoted to a study of the rings Oa of holomorphic functions. The notions of analytic sets and germs are introduced in the second chapter. Its aim is to present elementary properties of these objects, also in connection with ideals of the rings Oa. The case of principal germs (§5) and one-dimensional germs (Puiseux theorem, §6) are treated separately. The main step towards understanding of the local structure of analytic sets is Ruckert's descriptive lemma proved in Chapter III. Among its conse quences is the important Hilbert Nullstellensatz (§4). In the fourth chapter, a study of local structure (normal triples, § 1) is followed by an exposition of the basic properties of analytic sets. The latter includes theorems on the set of singular points, irreducibility, and decom position into irreducible branches (§2). The role played by the ring 0 A of an analytic germ is shown (§4). Then, the Remmert-Stein theorem on re movable singularities is proved (§6). The last part of the chapter deals with analytically constructible sets (§7).
Book Synopsis Analytic Combinatorics by : Philippe Flajolet
Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Book Synopsis On C[infinity Symbol] and Complex Analytic Equivalence of Complex Analytic Singularities by : Robert Martin Ephraim
Download or read book On C[infinity Symbol] and Complex Analytic Equivalence of Complex Analytic Singularities written by Robert Martin Ephraim and published by . This book was released on 1971 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Normal Two-dimensional Singularities by : Henry B. Laufer
Download or read book Normal Two-dimensional Singularities written by Henry B. Laufer and published by Princeton University Press. This book was released on 1971-11-21 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey, thorough and timely, of the singularities of two-dimensional normal complex analytic varieties, the volume summarizes the results obtained since Hirzebruch's thesis (1953) and presents new contributions. First, the singularity is resolved and shown to be classified by its resolution; then, resolutions are classed by the use of spaces with nilpotents; finally, the spaces with nilpotents are determined by means of the local ring structure of the singularity.
Book Synopsis Topics on Real and Complex Singularities by : Alexandru Dimca
Download or read book Topics on Real and Complex Singularities written by Alexandru Dimca and published by Springer-Verlag. This book was released on 2013-07-02 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Analysis by : Theodore W. Gamelin
Download or read book Complex Analysis written by Theodore W. Gamelin and published by Springer Science & Business Media. This book was released on 2013-11-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.
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 of Analytic Spaces by : A. Tognoli
Download or read book Singularities of Analytic Spaces written by A. Tognoli and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: F. Lazzeri: Analytic singularities.- V. Poénaru: Lectures of the singularities of C∞ mappings.- A. Tognoli: About the set of non coherence of a real analytic variety. Pathology and imbedding problems for real analytic spaces.
Book Synopsis Singularities of integrals by : Frédéric Pham
Download or read book Singularities of integrals written by Frédéric Pham and published by Springer Science & Business Media. This book was released on 2011-04-22 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together two fundamental texts from Frédéric Pham’s research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach. Using notions developed by J. Leray in the calculus of residues in several variables and R. Thom’s isotopy theorems, Frédéric Pham’s foundational study of the singularities of integrals lies at the interface between analysis and algebraic geometry, culminating in the Picard-Lefschetz formulae. These mathematical structures, enriched by the work of Nilsson, are then approached using methods from the theory of differential equations and generalized from the point of view of hyperfunction theory and microlocal analysis. Providing a ‘must-have’ introduction to the singularities of integrals, a number of supplementary references also offer a convenient guide to the subjects covered. This book will appeal to both mathematicians and physicists with an interest in the area of singularities of integrals. Frédéric Pham, now retired, was Professor at the University of Nice. He has published several educational and research texts. His recent work concerns semi-classical analysis and resurgent functions.
Book Synopsis Functions of Several Complex Variables and Their Singularities by : Wolfgang Ebeling
Download or read book Functions of Several Complex Variables and Their Singularities written by Wolfgang Ebeling and published by American Mathematical Soc.. This book was released on 2007 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
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.
![Download On C[infinity Symbol] and Complex Analytic Equivalence of Complex Analytic Singularities PDF Online Free](https://books.google.com/books/content/images/frontcover/7-UlKAAACAAJ?fife=w200-h370)
