Complex Analytic Cycles

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Complex Analytic Cycles I

Author : Daniel Barlet
Publisher : Springer Nature
ISBN 13 : 3030311635
Total Pages : 545 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Complex Analytic Cycles I by : Daniel Barlet

Download or read book Complex Analytic Cycles I written by Daniel Barlet and published by Springer Nature. This book was released on 2020-01-03 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of a presentation from scratch of cycle space methodology in complex geometry. Applications in various contexts are given. A significant portion of the book is devoted to material which is important in the general area of complex analysis. In this regard, a geometric approach is used to obtain fundamental results such as the local parameterization theorem, Lelong' s Theorem and Remmert's direct image theorem. Methods involving cycle spaces have been used in complex geometry for some forty years. The purpose of the book is to systematically explain these methods in a way which is accessible to graduate students in mathematics as well as to research mathematicians. After the background material which is presented in the initial chapters, families of cycles are treated in the last most important part of the book. Their topological aspects are developed in a systematic way and some basic, important applications of analytic families of cycles are given. The construction of the cycle space as a complex space, along with numerous important applications, is given in the second volume. The present book is a translation of the French version that was published in 2014 by the French Mathematical Society.

Complex Analytic Cycles

Author : Daniel Barlet
Publisher :
ISBN 13 : 9783030311643
Total Pages : 545 pages
Book Rating : 4.3/5 (116 download)

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Book Synopsis Complex Analytic Cycles by : Daniel Barlet

Download or read book Complex Analytic Cycles written by Daniel Barlet and published by . This book was released on 2019 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of a presentation from scratch of cycle space methodology in complex geometry. Applications in various contexts are given. A significant portion of the book is devoted to material which is important in the general area of complex analysis. In this regard, a geometric approach is used to obtain fundamental results such as the local parameterization theorem, Lelong' s Theorem and Remmert's direct image theorem. Methods involving cycle spaces have been used in complex geometry for some forty years. The purpose of the book is to systematically explain these methods in a way which is accessible to graduate students in mathematics as well as to research mathematicians. After the background material which is presented in the initial chapters, families of cycles are treated in the last most important part of the book. Their topological aspects are developed in a systematic way and some basic, important applications of analytic families of cycles are given. The construction of the cycle space as a complex space, along with numerous important applications, is given in the second volume. The present book is a translation of the French version that was published in 2014 by the French Mathematical Society.

On Complex Analytic Cycle Spaces of Flag Domains

Author : Gregor Fels
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (314 download)

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Book Synopsis On Complex Analytic Cycle Spaces of Flag Domains by : Gregor Fels

Download or read book On Complex Analytic Cycle Spaces of Flag Domains written by Gregor Fels and published by . This book was released on 2004 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Control Over Complex Analytic Singularities

Author : Christopher Hart
Publisher :
ISBN 13 : 9781470403768
Total Pages : 268 pages
Book Rating : 4.4/5 (37 download)

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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.

Cycle Spaces of Flag Domains

Author : Gregor Fels
Publisher : Springer Science & Business Media
ISBN 13 : 9780817643911
Total Pages : 368 pages
Book Rating : 4.6/5 (439 download)

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Book Synopsis Cycle Spaces of Flag Domains by : Gregor Fels

Download or read book Cycle Spaces of Flag Domains written by Gregor Fels and published by Springer Science & Business Media. This book was released on 2005-12-12 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by numerous examples from the complex geometric viewpoint New results presented for the first time Widely accessible, with all necessary background material provided for the nonspecialist Comparisons with classical Barlet cycle spaces are given Good bibliography and index

Numerical Control over Complex Analytic Singularities

Author : David B. Massey
Publisher : American Mathematical Soc.
ISBN 13 : 0821832808
Total Pages : 288 pages
Book Rating : 4.8/5 (218 download)

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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.

Le Cycles and Hypersurface Singularities

Author : David Massey
Publisher : Springer
ISBN 13 : 3540455213
Total Pages : 141 pages
Book Rating : 4.5/5 (44 download)

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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.

Cycle Spaces of Flag Domains

Author : Gregor Fels
Publisher : Birkhäuser
ISBN 13 : 9780817671006
Total Pages : 339 pages
Book Rating : 4.6/5 (71 download)

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Book Synopsis Cycle Spaces of Flag Domains by : Gregor Fels

Download or read book Cycle Spaces of Flag Domains written by Gregor Fels and published by Birkhäuser. This book was released on 2008-11-01 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by numerous examples from the complex geometric viewpoint New results presented for the first time Widely accessible, with all necessary background material provided for the nonspecialist Comparisons with classical Barlet cycle spaces are given Good bibliography and index

Course In Analysis, A - Vol. Iii: Measure And Integration Theory, Complex-valued Functions Of A Complex Variable

Author : Niels Jacob
Publisher : World Scientific Publishing Company
ISBN 13 : 9813221712
Total Pages : 784 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Course In Analysis, A - Vol. Iii: Measure And Integration Theory, Complex-valued Functions Of A Complex Variable by : Niels Jacob

Download or read book Course In Analysis, A - Vol. Iii: Measure And Integration Theory, Complex-valued Functions Of A Complex Variable written by Niels Jacob and published by World Scientific Publishing Company. This book was released on 2017-06-29 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'It is a great book for a first year (US) graduate student. One of the nice features of the book is that the book contains full solutions for all of the problems which make it useful as reference for self-study or qualifying exam prep.' (See Full Review)MAA ReviewsIn this third volume of 'A Course in Analysis', two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory.In the first part measurable spaces and measure spaces are introduced and Caratheodory's extension theorem is proved. This is followed by the construction of the integral with respect to a measure, in particular with respect to the Lebesgue measure in the Euclidean space. The Radon-Nikodym theorem and the transformation theorem are discussed and much care is taken to handle convergence theorems with applications, as well as Lp-spaces.Integration on product spaces and Fubini's theorem is a further topic as is the discussion of the relation between the Lebesgue integral and the Riemann integral. In addition to these standard topics we deal with the Hausdorff measure, convolutions of functions and measures including the Friedrichs mollifier, absolutely continuous functions and functions of bounded variation. The fundamental theorem of calculus is revisited, and we also look at Sard's theorem or the Riesz-Kolmogorov theorem on pre-compact sets in Lp-spaces.The text can serve as a companion to lectures, but it can also be used for self-studying. This volume includes more than 275 problems solved completely in detail which should help the student further.

Le Cycles and Hypersurface Singularities

Author : David Massey
Publisher :
ISBN 13 : 9783662198391
Total Pages : 148 pages
Book Rating : 4.1/5 (983 download)

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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 . This book was released on 2014-09-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rational Iteration

Author : Norbert Steinmetz
Publisher : Walter de Gruyter
ISBN 13 : 9783110137651
Total Pages : 208 pages
Book Rating : 4.1/5 (376 download)

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Book Synopsis Rational Iteration by : Norbert Steinmetz

Download or read book Rational Iteration written by Norbert Steinmetz and published by Walter de Gruyter. This book was released on 1993 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antić, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

New Developments in Lie Theory and Their Applications

Author : Juan Tirao
Publisher : Springer Science & Business Media
ISBN 13 : 1461229782
Total Pages : 232 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis New Developments in Lie Theory and Their Applications by : Juan Tirao

Download or read book New Developments in Lie Theory and Their Applications written by Juan Tirao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representation theory, and more generally Lie theory, has played a very important role in many of the recent developments of mathematics and in the interaction of mathematics with physics. In August-September 1989, a workshop (Third Workshop on Representation Theory of Lie Groups and its Applications) was held in the environs of C6rdoba, Argentina to present expositions of important recent developments in the field that would be accessible to graduate students and researchers in related fields. This volume contains articles that are edited versions of the lectures (and short courses) given at the workshop. Within representation theory, one of the main open problems is to determine the unitary dual of a real reductive group. Although this prob lem is as yet unsolved, the recent work of Barbasch, Vogan, Arthur as well as others has shed new light on the structure of the problem. The article of D. Vogan presents an exposition of some aspects of this prob lem, emphasizing an extension of the orbit method of Kostant, Kirillov. Several examples are given that explain why the orbit method should be extended and how this extension should be implemented.

Transactions of the American Mathematical Society

Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transactions of the American Mathematical Society by : American Mathematical Society

Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1915 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.

Polynomials and Vanishing Cycles

Author : Mihai Tibăr
Publisher : Cambridge University Press
ISBN 13 : 1139463640
Total Pages : 13 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Polynomials and Vanishing Cycles by : Mihai Tibăr

Download or read book Polynomials and Vanishing Cycles written by Mihai Tibăr and published by Cambridge University Press. This book was released on 2007-05-17 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded as singular fibrations. This self-contained tract proposes a systematic geometro-topological approach to vanishing cycles, especially those appearing in non-proper fibrations, such as the fibration defined by a polynomial function. Topics which have been the object of active research over the past 15 years, such as holomorphic germs, polynomial functions, and Lefschetz pencils on quasi-projective spaces, are here shown in a new light: conceived as aspects of a single theory with vanishing cycles at its core. Throughout the book the author presents the current state of the art. Transparent proofs are provided so that non-specialists can use this book as an introduction, but all researchers and graduate students working in differential and algebraic topology, algebraic geometry, and singularity theory will find this book of great use.

Life cycle costing emphasizing energy conservation

Author : Reynolds, Smith and Hills
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Life cycle costing emphasizing energy conservation by : Reynolds, Smith and Hills

Download or read book Life cycle costing emphasizing energy conservation written by Reynolds, Smith and Hills and published by . This book was released on 1976 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis

Author : Lars Valerian Ahlfors
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Complex Analysis by : Lars Valerian Ahlfors

Download or read book Complex Analysis written by Lars Valerian Ahlfors and published by . This book was released on 1953 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Carleman’s Formulas in Complex Analysis

Author : L.A. Aizenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9401115966
Total Pages : 317 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Carleman’s Formulas in Complex Analysis by : L.A. Aizenberg

Download or read book Carleman’s Formulas in Complex Analysis written by L.A. Aizenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).