Intersection Homology & Perverse Sheaves: With Applications to Singularities, Maxim Laurenţiu G.
Автор: Maxim, Laurentiu G. Название: Intersection homology & perverse sheaves ISBN: 3030276430 ISBN-13(EAN): 9783030276430 Издательство: Springer Рейтинг: Цена: 43780.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout.
Автор: Greg Friedman Название: Singular Intersection Homology ISBN: 1107150744 ISBN-13(EAN): 9781107150744 Издательство: Cambridge Academ Рейтинг: Цена: 145730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a comprehensive, expository introduction to intersection homology, an important modern research area in the mathematical field of topology. The book is written to be accessible to graduate students in topology and researchers from other fields, and is suitable both as an introduction and as a thorough reference.
Автор: Jayce Getz; Mark Goresky Название: Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change ISBN: 3034807953 ISBN-13(EAN): 9783034807951 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book contains basic material on intersection cohomology, modular cycles and automorphic forms from the classical and adelic points of view. Award winning monograph of the 2011 Ferran Sunyer i Balaguer Prize competition.
Автор: Reinhardt Kiehl; Rainer Weissauer Название: Weil Conjectures, Perverse Sheaves and l`adic Fourier Transform ISBN: 3642074723 ISBN-13(EAN): 9783642074721 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this book the authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II." The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.
Автор: Paul Levinson, Michael Waltemathe Название: Touching the Face of the Cosmos: On the Intersection of Space Travel and Religion ISBN: 0823272117 ISBN-13(EAN): 9780823272112 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 18350.00 T Наличие на складе: Поставка под заказ. Описание: Military advantage, scientific knowledge, and commerce have thus far been the main motives to human exploration of outer space. Touching the Face of the Cosmos explores what may be the best motive of all, largely untapped: the desire of every human being, essentially spiritual, to understand more about our place in the universe, how our lives on Earth are inextricably part of that bigger picture. Drawing on leading scientists,religious thinkers, and science fiction writers—including a new interview with John Glenn and an essay by Director of the Vatican Observatory Guy Consolmagno, S.J.—Paul Levinson and Michael Waltemathe have assembled a volume that puts space travel and religion on the map for anyone interested in outer space, theology, and philosophy.
Автор: David Mond, Juan Jos? Nu?o-Ballesteros Название: Singularities of Mappings ISBN: 3030344398 ISBN-13(EAN): 9783030344399 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Нет в наличии. Описание: 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.
Автор: Pankaj S Joshi Название: Gravitational Collapse and Spacetime Singularities ISBN: 110740536X ISBN-13(EAN): 9781107405363 Издательство: Cambridge Academ Рейтинг: Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Investigating the issues involved in gravitational collapse, this book includes a detailed review of recent research into the subject, and several examples of collapse models are investigated in detail. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology.
Автор: Iouri Egorov; Bert-Wolfgang Schulze Название: Pseudo-Differential Operators, Singularities, Applications ISBN: 3034898207 ISBN-13(EAN): 9783034898201 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Pseudo-differential operators belong to the most powerful tools in the analysis of partial differential equations. Basic achievements in the early sixties have initiated a completely new understanding of many old and important problems in analy- sis and mathematical physics. The standard calculus of pseudo-differential and Fourier integral operators may today be considered as classical. The development has been continuous since the early days of the first essential applications to ellip- ticity, index theory, parametrices and propagation of singularities for non-elliptic operators, boundary-value problems, and spectral theory. The basic ideas of the calculus go back to Giraud, Calderon, Zygmund, Mikhlin, Agranovich, Dynin, Vishik, Eskin, and Maslov. Subsequent progress was greatly stimulated by the classical works of Kohn, Nirenberg and Hormander. In recent years there developed a new vital interest in the ideas of micro- local analysis in connection with analogous fields of applications over spaces with singularities, e.g. conical points, edges, corners, and higher singularities. The index theory for manifolds with singularities became an enormous challenge for analysists to invent an adequate concept of ellipticity, based on corresponding symbolic structures. Note that index theory was another source of ideas for the later development of the theory of pseudo-differential operators. Let us mention, in particular, the fundamental contributions by Gelfand, Atiyah, Singer, and Bott.
Автор: Raimundo Nonato Ara?jo dos Santos; Aur?lio Menegon Название: Singularities and Foliations. Geometry, Topology and Applications ISBN: 303008826X ISBN-13(EAN): 9783030088262 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity, Topology and Geometry of Singularities, Topological Classification of Singularities of Mappings, and more. They were written by mathematicians from several countries, including Brazil, Spain, Mexico, Japan and the USA, on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe theory, and myriad applications. Open problems are also introduced, making this volume a must-read both for graduate students and active researchers in this field.
This book presents singular optics in a gradual and systematic manner and bridges the gap between a seasoned researcher and a student who aims to pursue research in this topic. The book includes illustrations, examples and references that will enable the reader to conceive their own ideas as they discover more about singular optics.
Автор: V.D. Golovin Название: Homology of Analytic Sheaves and Duality Theorems ISBN: 1468416790 ISBN-13(EAN): 9781468416794 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The homology of analytic sheaves is a natural apparatus in the theory of duality on complex spaces. The corresponding apparatus in algebraic geometry was developed by Grothendieck in the fifties. In complex ana- lytic geometry the apparatus of homology was missing until recently, and in its stead the hypercohomology of complex sheaves (the hyper-Ext func- tors) and the Aleksandrov-Cech homology with coefficients in co- presheaves were used. The homology of analytic sheaves, sheaves of germs of homology and homology groups of analytic sheaves, were intro- duced and studied in the mid-seventies in a number of papers by the author. The main goal of this book is to give a systematic and detailed account of the homology theory of analytic sheaves and some of its applications to duality theory on complex spaces and to the theory of hyperfunctions. In order to read this book one must be acquainted with the foundations of ho- mological algebra and the theory of topological vector spaces. Only the most elementary concepts and results from the theory of functions of sev- eral complex variables are assumed to be known. The information needed about sheaves and complex spaces is recounted briefly at the beginning of the fIrst chapter. v. D. Golovin v CONTENTS Chapter 1. ANALYTIC SHEA YES .................................... 1 1. Prelirriinary Information .................................... 1 2. Injectivity Test................................................ 16 3. Local Duality . ....... ... ........ ....... ........... ... ... ..... 24 4. Injective and Global Dimension ........................... 36 5. Properties of Fine Sheaves ................................. 46 Chapter 2. HOMOLOGY THEORY ................................ " .. 63 1. Sheaves of Germs of Homology. . . . . . . . . . . . . . .. . . . . . . . . 63 . . .
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