The Geometry Of Algebraic Fermi Curves

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The Geometry of Algebraic Fermi Curves

D Gieseker
The Geometry of Algebraic Fermi Curves Book PDF

Author : D Gieseker
Publisher : Academic Press
Page : 246 pages
File Size : 48,5 Mb
Release : 2012-12-02
Category : Mathematics
ISBN : 9780323159289

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The Geometry of Algebraic Fermi Curves by D Gieseker Pdf

The Geometry of Algebraic Fermi Curves deals with the geometry of algebraic Fermi curves, with emphasis on the inverse spectral problem. Topics covered include the periodic Schrödinger operator and electrons in a crystal; one-dimensional algebraic Bloch varieties; separable Bloch varieties; and monodromy for separable and generic Bloch varieties. Compactification, the potential zero, and density of states are also discussed. This book consists of 13 chapters and begins by recalling the static lattice approximation for electronic motion at low temperature in a pure, finite sample of a d-dimensional crystal. The position of the Fermi energy and the geometry of the Fermi hypersurface in relation to the metallic properties of the crystal are described. The following chapters focus on the Bloch variety associated with a discrete two-dimensional periodic Schrödinger operator; algebraic Bloch varieties in one dimension; compactification of the Bloch variety; and the potential zero. The geometry of the Bloch variety of a separable potential is also considered, along with the topology of the family of Fermi curves. The final chapter demonstrates how the Bloch variety is determined by the density of states. This monograph will be a useful resource for students and teachers of mathematics.

Algebraic Geometry

Brian Harbourne,Robert Speiser
Algebraic Geometry Book PDF

Author : Brian Harbourne,Robert Speiser
Publisher : American Mathematical Soc.
Page : 146 pages
File Size : 49,6 Mb
Release : 1991
Category : Mathematics
ISBN : 9780821851241

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Algebraic Geometry by Brian Harbourne,Robert Speiser Pdf

This volume contains the proceedings of the NSF-CBMS Regional Conference on Algebraic Geometry, held in Sundance, Utah, in July 1988. The conference focused on algebraic curves and related varieties. Some of the papers collected here represent lectures delivered at the conference, some report on research done during the conference, while others describe related work carried out elsewhere.

Geometry of Algebraic Curves

Enrico Arbarello,Maurizio Cornalba,Phillip Griffiths
Geometry of Algebraic Curves Book PDF

Author : Enrico Arbarello,Maurizio Cornalba,Phillip Griffiths
Publisher : Springer Science & Business Media
Page : 983 pages
File Size : 41,7 Mb
Release : 2011-03-10
Category : Mathematics
ISBN : 9783540693925

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Geometry of Algebraic Curves by Enrico Arbarello,Maurizio Cornalba,Phillip Griffiths Pdf

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series.

Algebraic Curves and One-Dimensional Fields

Fedor Bogomolov,Tihomir Petrov
Algebraic Curves and One Dimensional Fields Book PDF

Author : Fedor Bogomolov,Tihomir Petrov
Publisher : American Mathematical Soc.
Page : 229 pages
File Size : 49,8 Mb
Release : 2002
Category : Courbes algébriques
ISBN : 9780821828625

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Algebraic Curves and One-Dimensional Fields by Fedor Bogomolov,Tihomir Petrov Pdf

This text covers the essential topics in the geometry of algebraic curves, such as line and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. It demonstrates how curves can act as a natural introduction to algebraic geometry.

Barsotti Symposium in Algebraic Geometry

Valentino Cristante,William Messing
Barsotti Symposium in Algebraic Geometry Book PDF

Author : Valentino Cristante,William Messing
Publisher : Academic Press
Page : 306 pages
File Size : 53,8 Mb
Release : 2014-07-21
Category : Mathematics
ISBN : 9781483217628

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Barsotti Symposium in Algebraic Geometry by Valentino Cristante,William Messing Pdf

Barsotti Symposium in Algebraic Geometry contains papers corresponding to the lectures given at the 1991 memorial meeting held in Abano Terme in honor of Iacopo Barsotti. This text reflects Barsotti’s significant contributions in the field. This book is composed of 10 chapters and begins with a review of the centers of three-dimensional skylanin algebras. The succeeding chapters deal with the theoretical aspects of the Abelian varieties, Witt realization of p-Adic Barsotti-Tate Groups, and hypergeometric series and functions. These topics are followed by discussions of logarithmic spaces and the estimates for and inequalities among A-numbers. The closing chapter describes the moduli of Abelian varieties in positive characteristic. This book will be of value to mathematicians.

Plane Algebraic Curves

Gerd Fischer
Plane Algebraic Curves Book PDF

Author : Gerd Fischer
Publisher : American Mathematical Soc.
Page : 249 pages
File Size : 45,9 Mb
Release : 2001
Category : Curves, Algebraic
ISBN : 9780821821220

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Plane Algebraic Curves by Gerd Fischer Pdf

This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.

Algebraic and Analytic Methods in Representation Theory

Anonim
Algebraic and Analytic Methods in Representation Theory Book PDF

Author : Anonim
Publisher : Elsevier
Page : 343 pages
File Size : 53,5 Mb
Release : 1996-09-27
Category : Mathematics
ISBN : 9780080526959

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Algebraic and Analytic Methods in Representation Theory by Anonim Pdf

This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Algebraic Curves

Maxim E. Kazaryan,Sergei K. Lando,Victor V. Prasolov
Algebraic Curves Book PDF

Author : Maxim E. Kazaryan,Sergei K. Lando,Victor V. Prasolov
Publisher : Springer
Page : 231 pages
File Size : 41,5 Mb
Release : 2019-01-21
Category : Mathematics
ISBN : 9783030029432

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Algebraic Curves by Maxim E. Kazaryan,Sergei K. Lando,Victor V. Prasolov Pdf

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well. The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces. The book does not use the sophisticated machinery of modern algebraic geometry, and most classical objects related to curves – such as Jacobian, space of holomorphic differentials, the Riemann-Roch theorem, and Weierstrass points – are treated at a basic level that does not require a profound command of algebraic geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it offers clear information on the construction of the moduli spaces, and provides readers with tools for practical operations with this notion. Based on several lecture courses given by the authors at the Independent University of Moscow and Higher School of Economics, the book also includes a wealth of problems, making it suitable not only for individual research, but also as a textbook for undergraduate and graduate coursework

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

Yulia E. Karpeshina
Perturbation Theory for the Schr dinger Operator with a Periodic Potential Book PDF

Author : Yulia E. Karpeshina
Publisher : Springer
Page : 358 pages
File Size : 43,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540691563

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Perturbation Theory for the Schrödinger Operator with a Periodic Potential by Yulia E. Karpeshina Pdf

The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrödinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values.

Algebraic Cycles and Motives: Volume 2

Jan Nagel,Chris Peters
Algebraic Cycles and Motives Volume 2 Book PDF

Author : Jan Nagel,Chris Peters
Publisher : Cambridge University Press
Page : 360 pages
File Size : 51,6 Mb
Release : 2007-05-03
Category : Mathematics
ISBN : 9780521701754

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Algebraic Cycles and Motives: Volume 2 by Jan Nagel,Chris Peters Pdf

A self-contained account of the subject of algebraic cycles and motives as it stands.

Causal Symmetric Spaces

Gestur Olafsson,Joachim Hilgert
Causal Symmetric Spaces Book PDF

Author : Gestur Olafsson,Joachim Hilgert
Publisher : Academic Press
Page : 303 pages
File Size : 55,5 Mb
Release : 1996-09-11
Category : Mathematics
ISBN : 9780080528724

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Causal Symmetric Spaces by Gestur Olafsson,Joachim Hilgert Pdf

This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces. Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spaces Deals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fields Presents basic geometric properties of semi-simple symmetric spaces Includes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces

Local Geometry of the Fermi Surface

Natalya A. Zimbovskaya
Local Geometry of the Fermi Surface Book PDF

Author : Natalya A. Zimbovskaya
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461301936

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Local Geometry of the Fermi Surface by Natalya A. Zimbovskaya Pdf

A treatment of the Fermi-liquid theory of high-frequency phenomena in metals, in paricular the effects due to local features in the geometry of the Fermi surface. The text develops a consistent theory of several effects, such as cyclotron resonances in magnetic fields normal to the surface. Topics covered include: basic equations of the Fermi-liquid theory; cyclotron Doppler on waves; local anomalies in the Fermi surface; cyclotron resonancce in metals; magneto-acoustic oscillations and the local geometry of the Fermi surface.

Algebraic Geometry

Brian Harbourne,Robert Speiser
Algebraic Geometry Book PDF

Author : Brian Harbourne,Robert Speiser
Publisher : American Mathematical Soc.
Page : 164 pages
File Size : 52,5 Mb
Release : 1991
Category : Mathematics
ISBN : 0821854496

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Algebraic Geometry by Brian Harbourne,Robert Speiser Pdf

This volume contains the proceedings of the NSF-CBMS Regional Conference on Algebraic Geometry, held in Sundance, Utah in July 1988. The conference focused on algebraic curves and related varieties. Some of the papers collected here represent lectures delivered at the conference, some report on research done during the conference, while others describe related work carried out elsewhere.

On Three Levels

Mark Fannes,Christan Maes,Andre Verbeure
On Three Levels Book PDF

Author : Mark Fannes,Christan Maes,Andre Verbeure
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461524601

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On Three Levels by Mark Fannes,Christan Maes,Andre Verbeure Pdf

This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.

The Theory of Singularities and Its Applications

Vladimir Igorevich Arnolʹd
The Theory of Singularities and Its Applications Book PDF

Author : Vladimir Igorevich Arnolʹd
Publisher : Cambridge University Press
Page : 88 pages
File Size : 51,8 Mb
Release : 1991-05-31
Category : Mathematics
ISBN : 0521422809

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The Theory of Singularities and Its Applications by Vladimir Igorevich Arnolʹd Pdf

In this book, which is based on lectures given in Pisa under the auspices of the Accademia Nazionale dei Lincei, the distinguished mathematician Vladimir Arnold describes those singularities encountered in different branches of mathematics. He avoids giving difficult proofs of all the results in order to provide the reader with a concise and accessible overview of the many guises and areas in which singularities appear, such as geometry and optics; optimal control theory and algebraic geometry; reflection groups and dynamical systems and many more. This will be an excellent companion for final year undergraduates and graduates whose area of study brings them into contact with singularities.