Configuration Spaces over Hilbert Schemes and Applications

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Publisher : Springer
ISBN 13 : 3540496343
Total Pages : 149 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Configuration Spaces over Hilbert Schemes and Applications by : Danielle Dias

Download or read book Configuration Spaces over Hilbert Schemes and Applications written by Danielle Dias and published by Springer. This book was released on 2006-11-14 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main themes of this book are to establish the triple formula without any hypotheses on the genericity of the morphism, and to develop a theory of complete quadruple points, which is a first step towards proving the quadruple point formula under less restrictive hypotheses. This book should be of interest to graduate students and researchers in the field of algebraic geometry. The reader is expected to have some basic knowledge of enumerative algebraic geometry and pointwise Hilbert schemes.

Configuration Spaces Over Hilbert Schemes and Applications

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Publisher :
ISBN 13 : 9783662174142
Total Pages : 154 pages
Book Rating : 4.1/5 (741 download)

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Book Synopsis Configuration Spaces Over Hilbert Schemes and Applications by : Danielle Dias

Download or read book Configuration Spaces Over Hilbert Schemes and Applications written by Danielle Dias and published by . This book was released on 2014-01-15 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Global Theory of Minimal Surfaces in Flat Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540431206
Total Pages : 136 pages
Book Rating : 4.4/5 (312 download)

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Book Synopsis The Global Theory of Minimal Surfaces in Flat Spaces by : William Meeks

Download or read book The Global Theory of Minimal Surfaces in Flat Spaces written by William Meeks and published by Springer Science & Business Media. This book was released on 2002-03-25 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.

Characters and Cyclotomic Fields in Finite Geometry

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Publisher : Springer
ISBN 13 : 3540457976
Total Pages : 112 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Characters and Cyclotomic Fields in Finite Geometry by : Bernhard Schmidt

Download or read book Characters and Cyclotomic Fields in Finite Geometry written by Bernhard Schmidt and published by Springer. This book was released on 2004-10-13 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13

hp-Finite Element Methods for Singular Perturbations

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Publisher : Springer
ISBN 13 : 354045781X
Total Pages : 331 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis hp-Finite Element Methods for Singular Perturbations by : Jens M. Melenk

Download or read book hp-Finite Element Methods for Singular Perturbations written by Jens M. Melenk and published by Springer. This book was released on 2004-10-19 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.

Differentiability of Six Operators on Nonsmooth Functions and p-Variation

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Publisher : Springer
ISBN 13 : 3540488146
Total Pages : 289 pages
Book Rating : 4.5/5 (44 download)

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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.

Variational Methods for Crystalline Microstructure - Analysis and Computation

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Publisher : Springer
ISBN 13 : 3540361251
Total Pages : 223 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Variational Methods for Crystalline Microstructure - Analysis and Computation by : Georg Dolzmann

Download or read book Variational Methods for Crystalline Microstructure - Analysis and Computation written by Georg Dolzmann and published by Springer. This book was released on 2004-10-23 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.

Flows on 2-dimensional Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540660804
Total Pages : 324 pages
Book Rating : 4.6/5 (68 download)

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Book Synopsis Flows on 2-dimensional Manifolds by : Igor Nikolaev

Download or read book Flows on 2-dimensional Manifolds written by Igor Nikolaev and published by Springer Science & Business Media. This book was released on 1999-07-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.

Arithmetic Theory of Elliptic Curves

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540665465
Total Pages : 276 pages
Book Rating : 4.6/5 (654 download)

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Book Synopsis Arithmetic Theory of Elliptic Curves by : J. Coates

Download or read book Arithmetic Theory of Elliptic Curves written by J. Coates and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.

Calculus of Variations and Geometric Evolution Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540659778
Total Pages : 316 pages
Book Rating : 4.6/5 (597 download)

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Book Synopsis Calculus of Variations and Geometric Evolution Problems by : F. Bethuel

Download or read book Calculus of Variations and Geometric Evolution Problems written by F. Bethuel and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Seminaire de Probabilites XXXI

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Publisher : Springer
ISBN 13 : 3540683526
Total Pages : 342 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Seminaire de Probabilites XXXI by : Jacques Azema

Download or read book Seminaire de Probabilites XXXI written by Jacques Azema and published by Springer. This book was released on 2008-05-01 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 31 papers collected here present original research results obtained in 1995-96, on Brownian motion and, more generally, diffusion processes, martingales, Wiener spaces, polymer measures.

Real Enriques Surfaces

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540410881
Total Pages : 284 pages
Book Rating : 4.4/5 (18 download)

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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.

Elliptic Genera and Vertex Operator Super-Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540660064
Total Pages : 404 pages
Book Rating : 4.6/5 (6 download)

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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.

Loeb Measures in Practice: Recent Advances

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Publisher : Springer
ISBN 13 : 3540445315
Total Pages : 118 pages
Book Rating : 4.5/5 (44 download)

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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.

Geometric Aspects of Functional Analysis

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Publisher : Springer
ISBN 13 : 354045392X
Total Pages : 296 pages
Book Rating : 4.5/5 (44 download)

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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.

Geometric Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540442424
Total Pages : 292 pages
Book Rating : 4.4/5 (424 download)

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Book Synopsis Geometric Mechanics by : Waldyr M. Oliva

Download or read book Geometric Mechanics written by Waldyr M. Oliva and published by Springer Science & Business Media. This book was released on 2002-10-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.

Projective Modules and Complete Intersections

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540635642
Total Pages : 132 pages
Book Rating : 4.6/5 (356 download)

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Book Synopsis Projective Modules and Complete Intersections by : Satya Mandal

Download or read book Projective Modules and Complete Intersections written by Satya Mandal and published by Springer Science & Business Media. This book was released on 1997-10-10 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.