Download or read book Deformations of Algebraic Schemes written by Edoardo Sernesi and published by Springer Science & Business Media. This book was released on 2007-04-20 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.
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.
Download or read book Deformations of Surface Singularities written by Andras Némethi and published by Springer Science & Business Media. This book was released on 2014-01-24 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples. The aim is to collect material that will help mathematicians already working or wishing to work in this area to deepen their insight and eliminate the technical barriers in this learning process. Additionally, we introduce some material which emphasizes the newly found relationship with the theory of Stein fillings and symplectic geometry. This links two main theories of mathematics: low dimensional topology and algebraic geometry. The theory of normal surface singularities is a distinguished part of analytic or algebraic geometry with several important results, its own technical machinery, and several open problems. Recently several connections were established with low dimensional topology, symplectic geometry and theory of Stein fillings. This created an intense mathematical activity with spectacular bridges between the two areas. The theory of deformation of singularities is the key object in these connections.
Download or read book Multiscale Modeling in Continuum Mechanics and Structured Deformations written by Gianpetro Del Piero and published by Springer. This book was released on 2014-05-04 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: An updated account of the state of the art in the subject, presenting recent progress in two active and related areas of continuum mechanics: fracture mechanics and structured deformations.
Download or read book Energetic Relaxation to Structured Deformations written by José Matias and published by Springer Nature. This book was released on 2023-04-18 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first organized collection of some results that have been obtained by the authors, their collaborators, and other researchers in the variational approach to structured deformations. It sets the basis and makes more accessible the theoretical apparatus for assigning an energy to a structured deformation, thereby providing motivation to researchers in applied mathematics, continuum mechanics, engineering, and materials science to study the deformation of a solid body without committing at the outset to a specific mechanical theory. Researchers will benefit from an approach in which elastic, plastic, and fracture phenomena can be treated in a unified way. The book is intended for an audience acquainted with measure theory, the theory of functions of bounded variation, and continuum mechanics. Any students in their last years of undergraduate studies, graduate students, and researchers with a background in applied mathematics, the calculus of variations, and continuum mechanics will have the prerequisite to read this book.
Download or read book Deformations of Singularities written by Jan Stevens and published by Springer. This book was released on 2003-07-03 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes deal with deformation theory of complex analytic singularities and related objects. The first part treats general theory. The central notion is that of versal deformation in several variants. The theory is developed both in an abstract way and in a concrete way suitable for computations. The second part deals with more specific problems, specially on curves and surfaces. Smoothings of singularities are the main concern. Examples are spread throughout the text.
Download or read book Splitting Deformations of Degenerations of Complex Curves written by Shigeru Takamura and published by Springer. This book was released on 2006-10-11 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.
Download or read book Functorial Knot Theory Categories Of Tangles Coherence Categorical Deformations And Topological Invariants written by David N Yetter and published by World Scientific. This book was released on 2001-04-16 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have suggested functorial views of topological field theory.This book begins with a detailed exposition of the key ideas in the discovery of monoidal categories of tangles as central objects of study in low-dimensional topology. The focus then turns to the deformation theory of monoidal categories and the related deformation theory of monoidal functors, which is a proper generalization of Gerstenhaber's deformation theory of associative algebras. These serve as the building blocks for a deformation theory of braided monoidal categories which gives rise to sequences of Vassiliev invariants of framed links, and clarify their interrelations.
Download or read book Non Linear Elastic Deformations written by R. W. Ogden and published by Courier Corporation. This book was released on 2013-04-26 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
Download or read book Elliptic Curves Hilbert Modular Forms and Galois Deformations written by Laurent Berger and published by Springer Science & Business Media. This book was released on 2013-06-13 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year. The notes by Laurent Berger provide an introduction to p-adic Galois representations and Fontaine rings, which are especially useful for describing many local deformation rings at p that arise naturally in Galois deformation theory. The notes by Gebhard Böckle offer a comprehensive course on Galois deformation theory, starting from the foundational results of Mazur and discussing in detail the theory of pseudo-representations and their deformations, local deformations at places l ≠ p and local deformations at p which are flat. In the last section,the results of Böckle and Kisin on presentations of global deformation rings over local ones are discussed. The notes by Mladen Dimitrov present the basics of the arithmetic theory of Hilbert modular forms and varieties, with an emphasis on the study of the images of the attached Galois representations, on modularity lifting theorems over totally real number fields, and on the cohomology of Hilbert modular varieties with integral coefficients. The notes by Lassina Dembélé and John Voight describe methods for performing explicit computations in spaces of Hilbert modular forms. These methods depend on the Jacquet-Langlands correspondence and on computations in spaces of quaternionic modular forms, both for the case of definite and indefinite quaternion algebras. Several examples are given, and applications to modularity of Galois representations are discussed. The notes by Tim Dokchitser describe the proof, obtained by the author in a joint project with Vladimir Dokchitser, of the parity conjecture for elliptic curves over number fields under the assumption of finiteness of the Tate-Shafarevich group. The statement of the Birch and Swinnerton-Dyer conjecture is included, as well as a detailed study of local and global root numbers of elliptic curves and their classification.
Download or read book Cosmology in 2 1 Dimensions Cyclic Models and Deformations of M2 1 written by Victor Guillemin and published by Princeton University Press. This book was released on 1989-03-21 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floquet operator," invented by Paneitz and Segal.
Download or read book Deformations of Coherent Analytic Sheaves with Compact Supports written by Yum-Tong Siu and published by American Mathematical Soc.. This book was released on 1981 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is devoted to the construction of a semi-universal deformation of any coherent analytic sheaf on a complex space which has compact support. The procedure is constructive and elementary. It uses the power series method and the division and extension theory of ideals in power series rings developed by Grauert. This procedure has a number of important special features involving new techniques, three of which this paper explores at some length.
Download or read book Geometry of Incompatible Deformations written by and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-03-04 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measurement of Cardiac Deformations from MRI Physical and Mathematical Models written by A.A. Amini and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement of Cardiac Deformations from MRI: Physical and Mathematical Models describes the latest imaging and imag analysis techniques that have been developed at leading centers for the visualization, analysis, and understanding of normal and abnormal cardiac motion with magnetic resonance imaging (MRI). The use of MRI in measuring cardiac motion is particularly important because MRI is non-invasive, and it is the only modality capable of imaging detailed intramural motion within the myocardium. Biomedical engineers, medical physicists, computer scientists, and physicians interested in learning about the latest advances in cardiovascular MRI should find this book to be a valuable educational resource. In particular, it is more tutorial in nature than most of the technical papers where the research was originally published. Practitioners and researchers working in the field of cardiovascular MRI will find the book to be filled with practical technical details and references to other work, enabling the implementation of existing methods and serving as a basis for further research in the area.
Download or read book Large Deformations of Solids Physical Basis and Mathematical Modelling written by J. Gittus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Large Plastic Deformations Fundamental Aspects and Applications to Metal Forming written by J.L. Raphanel and published by Routledge. This book was released on 2021-09-17 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers topics involving large plastic deformation of metallic materials. These proceedings offer an overview of the synergism achieved by combining microstructural characterization and understanding, mechanical modelling and experiments, numerical analysis and computation.
Download or read book A Petrofabric Study of Tectonic and Mining induced Deformations in a Deep Mine written by Elbridge W. Gresseth and published by . This book was released on 1968 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
