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Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Varieties
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Book Synopsis Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties by : Yukiyoshi Nakkajima
Download or read book Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties written by Yukiyoshi Nakkajima and published by Springer. This book was released on 2008-09-08 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties of these filtered complexes are proved, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0.
Book Synopsis Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties by : Yukiyoshi Nakkajima
Download or read book Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties written by Yukiyoshi Nakkajima and published by Springer Science & Business Media. This book was released on 2008-09-15 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties of these filtered complexes are proved, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0.
Book Synopsis Blocks and Families for Cyclotomic Hecke Algebras by : Maria Chlouveraki
Download or read book Blocks and Families for Cyclotomic Hecke Algebras written by Maria Chlouveraki and published by Springer. This book was released on 2009-08-29 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Clifford theory. It can also serve as an introduction to the Hecke algebras of complex reflection groups.
Book Synopsis Vector Fields on Singular Varieties by : Jean-Paul Brasselet
Download or read book Vector Fields on Singular Varieties written by Jean-Paul Brasselet and published by Springer Science & Business Media. This book was released on 2009-12-17 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.
Book Synopsis Smooth Ergodic Theory for Endomorphisms by : Min Qian
Download or read book Smooth Ergodic Theory for Endomorphisms written by Min Qian and published by Springer. This book was released on 2009-07-07 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for researchers and graduate students, this volume sets out a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms. Its focus is on the relations between entropy, Lyapunov exponents and dimensions.
Book Synopsis Generalized Bessel Functions of the First Kind by : Árpád Baricz
Download or read book Generalized Bessel Functions of the First Kind written by Árpád Baricz and published by Springer Science & Business Media. This book was released on 2010-05-25 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.
Book Synopsis Regularity and Approximability of Electronic Wave Functions by : Harry Yserentant
Download or read book Regularity and Approximability of Electronic Wave Functions written by Harry Yserentant and published by Springer. This book was released on 2010-05-19 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The electronic Schrodi ̈ nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei. Solutions of this equation depend on 3N variables, three spatial dimensions for each electron. Approxim- ing the solutions is thus inordinately challenging, and it is conventionally believed that a reduction to simpli ed models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to c- vince the reader that this conventional wisdom need not be ironclad: the regularity of the solutions, which increases with the number of electrons, the decay behavior of their mixed derivatives, and the antisymmetry enforced by the Pauli principle contribute properties that allow these functions to be approximated with an order of complexity which comes arbitrarily close to that for a system of one or two electrons. The present notes arose from lectures that I gave in Berlin during the academic year 2008/09 to introduce beginning graduate students of mathematics into this subject. They are kept on an intermediate level that should be accessible to an audience of this kind as well as to physicists and theoretical chemists with a c- responding mathematical training.
Book Synopsis Controllability of Partial Differential Equations Governed by Multiplicative Controls by : Alexander Y. Khapalov
Download or read book Controllability of Partial Differential Equations Governed by Multiplicative Controls written by Alexander Y. Khapalov and published by Springer. This book was released on 2010-05-19 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph addresses the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The methodology is illustrated with a variety of model equations.
Book Synopsis Polyharmonic Boundary Value Problems by : Filippo Gazzola
Download or read book Polyharmonic Boundary Value Problems written by Filippo Gazzola and published by Springer. This book was released on 2010-05-26 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. It provides rapid access to recent results and references.
Book Synopsis Intersection Spaces, Spatial Homology Truncation, and String Theory by : Markus Banagl
Download or read book Intersection Spaces, Spatial Homology Truncation, and String Theory written by Markus Banagl and published by Springer Science & Business Media. This book was released on 2010-07-08 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality.
Book Synopsis The Use of Ultraproducts in Commutative Algebra by : Hans Schoutens
Download or read book The Use of Ultraproducts in Commutative Algebra written by Hans Schoutens and published by Springer Science & Business Media. This book was released on 2010-07-31 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutative algebra. The text includes an introduction to tight closure in characteristic zero, a survey of flatness criteria, and more.
Book Synopsis Geometric Theory of Discrete Nonautonomous Dynamical Systems by : Christian Pötzsche
Download or read book Geometric Theory of Discrete Nonautonomous Dynamical Systems written by Christian Pötzsche and published by Springer. This book was released on 2010-08-24 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, where the law of evolution varies in time due to seasonal, modulation, controlling or even random effects. Our goal is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes). These dynamical systems are generated by implicit difference equations, which explicitly depend on time. Compactness and dissipativity conditions are provided for such problems in order to have attractors using the natural concept of pullback convergence. Concerning a necessary linear theory, our hyperbolicity concept is based on exponential dichotomies and splittings. This concept is in turn used to construct nonautonomous invariant manifolds, so-called fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations.
Download or read book Lévy Matters I written by Thomas Duquesne and published by Springer. This book was released on 2010-09-02 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the breadth of the topic, this volume explores Lévy processes and applications, and presents the state-of-the-art in this evolving area of study. These expository articles help to disseminate important theoretical and applied research to those studying the field.
Book Synopsis Mutational Analysis by : Thomas Lorenz
Download or read book Mutational Analysis written by Thomas Lorenz and published by Springer. This book was released on 2010-05-29 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many applications, however, it is difficult to specify a suitable normed vector space. Shapes without a priori restrictions, for example, do not have an obvious linear structure. This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals. Here are some of the examples: - Feedback evolutions of compact subsets of the Euclidean space - Birth-and-growth processes of random sets (not necessarily convex) - Semilinear evolution equations - Nonlocal parabolic differential equations - Nonlinear transport equations for Radon measures - A structured population model - Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately - due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling.
Book Synopsis Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction by : Alberto Parmeggiani
Download or read book Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction written by Alberto Parmeggiani and published by Springer Science & Business Media. This book was released on 2010-04-22 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, including global and semiclassical variants. The main results concern the meromorphic continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems, described in terms of “classical” invariants (such as the periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful and flexible and presents an approach that could also be used for a variety of other problems. It also features expositions on different results throughout the literature.
Book Synopsis Banach Spaces and Descriptive Set Theory: Selected Topics by : Pandelis Dodos
Download or read book Banach Spaces and Descriptive Set Theory: Selected Topics written by Pandelis Dodos and published by Springer Science & Business Media. This book was released on 2010-05-10 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous “intermediate” results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective.
Book Synopsis Holomorphic Dynamical Systems by : Nessim Sibony
Download or read book Holomorphic Dynamical Systems written by Nessim Sibony and published by Springer Science & Business Media. This book was released on 2010-07-31 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.
