Analytic Quotients

Analytic Quotients

Author: Ilijas Farah

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 201

ISBN-13: 0821821172

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This book is intended for graduate students and research mathematicians interested in set theory.


Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action

Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action

Author: A. Bialynicki-Birula

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 248

ISBN-13: 3662050714

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This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions of a semisimple Lie or algebraic group on its Lie algebra via the adjoint action and on itself via conjugation. His contribution focuses primarily on nilpotent orbits that have found the widest application to representation theory in the last thirty-five years.


Set Theory and Its Applications

Set Theory and Its Applications

Author: Liljana Babinkostova

Publisher: American Mathematical Soc.

Published: 2011

Total Pages: 346

ISBN-13: 0821848127

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This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.


Symmetry and Spaces

Symmetry and Spaces

Author: H.E.A. Eddy Campbell

Publisher: Springer Science & Business Media

Published: 2010-01-23

Total Pages: 220

ISBN-13: 0817648755

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This volume includes articles that are a sampling of modern day algebraic geometry with associated group actions from its leading experts. There are three papers examining various aspects of modular invariant theory (Broer, Elmer and Fleischmann, Shank and Wehlau), and seven papers concentrating on characteristic 0 (Brion, Daigle and Freudenberg, Greb and Heinzner, Helminck, Kostant, Kraft and Wallach, Traves).


Topics In Complex Analysis, Differential Geometry And Methematical Physics - Proceedings Of The Third International Workshop On Complex Structures And Vector Fields

Topics In Complex Analysis, Differential Geometry And Methematical Physics - Proceedings Of The Third International Workshop On Complex Structures And Vector Fields

Author: Stancho Dimiev

Publisher: World Scientific

Published: 1997-07-01

Total Pages: 234

ISBN-13: 9814545899

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The Third International Workshop on Complex Structures and Vector Fields was held to exchange information on current topics in complex analysis, differential geometry and mathematical physics, and to find new subjects in these fields.This volume contains many interesting and important articles in complex analysis (including quaternionic analysis), functional analysis, topology, differential geometry (hermitian geometry, surface theory), and mathematical physics (quantum mechanics, hamilton mechanics).


Rigid Geometry of Curves and Their Jacobians

Rigid Geometry of Curves and Their Jacobians

Author: Werner Lütkebohmert

Publisher: Springer

Published: 2016-01-26

Total Pages: 398

ISBN-13: 331927371X

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This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.


Logic Colloquium '98

Logic Colloquium '98

Author: Samuel R. Buss

Publisher: Cambridge University Press

Published: 2017-03-30

Total Pages: 559

ISBN-13: 1108618480

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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the thirteenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic held at the University of Economics in Prague, August 9–15, 1988. It includes surveys and research from preeminent logicians. The papers in this volume range over all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy. This book will be of interest to all students and researchers in mathematical logic.


ENGINEERING MATHEMATICS

ENGINEERING MATHEMATICS

Author: Srivastava, P. K.

Publisher: PHI Learning Pvt. Ltd.

Published: 2011-07-01

Total Pages: 880

ISBN-13: 9390464315

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This volume is primarily intended for the undergraduate students of all disciplines of engineering of various Indian universities. This well-organised text deals with complex variable analysis, contour integration, the theorems of Cauchy–Riemann, Morera, Maclaurin, Laurent and many more that help students acquire a solid foundation in the basic skills. It also discusses probability theory, binomial and Poisson distributions, variance and time series that make the students comprehend the concepts and problems with ease. Finally, it explains the numerical methods for differentiation and integration, numerical solutions to ordinary differential equations using single and multi-step numerical methods in an easy-to-understand style that creates the interest in the subject. KEY FEATURES : * Introductions to all chapters to understand the topic more clearly. * Numerous solved examples with illustrations to enhance the skills. * End-of-chapter exercises to drill the students in self-study. * Objective type questions that sharpen the brain and help in proper understanding of the topic in depth.