Quotients

Author : A. Bialynicki-Birula,J. Carrell,W.M. McGovern
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 42,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662050712

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Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action by A. Bialynicki-Birula,J. Carrell,W.M. McGovern Pdf

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.

Author : Ilijas Farah
Publisher : American Mathematical Soc.
Page : 201 pages
File Size : 41,7 Mb
Release : 2000
Category : Algebra, Boolean
ISBN : 9780821821176

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Analytic Quotients by Ilijas Farah Pdf

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

Author : Ines Kath,Martin Olbrich
Publisher : American Mathematical Soc.
Page : 84 pages
File Size : 42,8 Mb
Release : 2020-02-13
Category : Education
ISBN : 9781470441036

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Compact Quotients of Cahen-Wallach Spaces by Ines Kath,Martin Olbrich Pdf

Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. The authors derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.

Author : B. Stenström
Publisher : Springer Science & Business Media
Page : 319 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642660665

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Rings of Quotients by B. Stenström Pdf

The theory of rings of quotients has its origin in the work of (j). Ore and K. Asano on the construction of the total ring of fractions, in the 1930's and 40's. But the subject did not really develop until the end of the 1950's, when a number of important papers appeared (by R. E. Johnson, Y. Utumi, A. W. Goldie, P. Gabriel, J. Lambek, and others). Since then the progress has been rapid, and the subject has by now attained a stage of maturity, where it is possible to make a systematic account of it (which is the purpose of this book). The most immediate example of a ring of quotients is the field of fractions Q of a commutative integral domain A. It may be characterized by the two properties: (i) For every qEQ there exists a non-zero SEA such that qSEA. (ii) Q is the maximal over-ring of A satisfying condition (i). The well-known construction of Q can be immediately extended to the case when A is an arbitrary commutative ring and S is a multiplicatively closed set of non-zero-divisors of A. In that case one defines the ring of fractions Q = A [S-l] as consisting of pairs (a, s) with aEA and SES, with the declaration that (a, s)=(b, t) if there exists UES such that uta = usb. The resulting ring Q satisfies (i), with the extra requirement that SES, and (ii).

Author : Gerald E. Hoyer
Publisher : Unknown
Page : 24 pages
File Size : 54,8 Mb
Release : 1985
Category : Forests and forestry
ISBN : MINN:31951D02986696F

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Tree Form Quotients as Variables in Volume Estimation by Gerald E. Hoyer Pdf

De procedure van de Duitser Hohenadl voor het bepalen van vormquotienten (afgeleid van diverse stamdiameters) en de boominhoud (ook afgeleid van stamdiameters op vastgestelde hoogtes) wordt behandeld. De procedure in gewijzigde vormen werd toegepast op gegevens van de Tsuga hetrophylla. De beschreven procedure blijkt ook voor andere boomsoorten toepasbaar

Author : N.P. Landsman,Markus Pflaum,Martin Schlichenmaier
Publisher : Birkhäuser
Page : 360 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883641

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Quantization of Singular Symplectic Quotients by N.P. Landsman,Markus Pflaum,Martin Schlichenmaier Pdf

This is the first exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. The reader will acquire an introduction to the various techniques used in this area, as well as an overview of the latest research approaches. These involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry. Thus one will be amply prepared to follow future developments in this field.

Author : Bruce Hunt
Publisher : Springer
Page : 347 pages
File Size : 41,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540699972

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The Geometry of some special Arithmetic Quotients by Bruce Hunt Pdf

The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties. Many of these were known classically, but in the last chapter a new such variety, a quintic fourfold, is introduced and studied. The text will be of interest to all involved in the study of moduli spaces with symmetries, and contains in addition a wealth of material which has been only accessible in very old sources, including a detailed presentation of the solution of the equation of 27th degree for the lines on a cubic surface.

Author : Victor Reiner
Publisher : American Mathematical Soc.
Page : 134 pages
File Size : 43,5 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821825259

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Quotients of Coxeter Complexes and $P$-Partitions by Victor Reiner Pdf

This is a study of some of the combinatorial and topological properties of finite Coxeter complexes. The author begins by studying some of the general topological and algebraic properties of quotients of Coxeter complexes, and determines when they are pseudomanifolds (with or without boundary) and when they are Cohen-Macaulay or Gorenstein over a field. The paper also examines quotients of Coxeter complexes by cyclic subgroups generated by Coxeter elements.

Author : Frances Clare Kirwan
Publisher : Princeton University Press
Page : 216 pages
File Size : 40,5 Mb
Release : 2020-06-30
Category : Mathematics
ISBN : 9780691214566

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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 by Frances Clare Kirwan Pdf

These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their relevance to moduli problems in algebraic geometry. The author describes two different approaches to the problem. One is purely algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain degenerate functions.

Author : Paula Tretkoff
Publisher : Princeton University Press
Page : 229 pages
File Size : 48,6 Mb
Release : 2016-02-16
Category : Mathematics
ISBN : 9781400881253

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Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51) by Paula Tretkoff Pdf

This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. Paula Tretkoff emphasizes those finite covers that are free quotients of the complex two-dimensional ball. Tretkoff also includes background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric function. The material in this book began as a set of lecture notes, taken by Tretkoff, of a course given by Friedrich Hirzebruch at ETH Zürich in 1996. The lecture notes were then considerably expanded by Hirzebruch and Tretkoff over a number of years. In this book, Tretkoff has expanded those notes even further, still stressing examples offered by finite covers of line arrangements. The book is largely self-contained and foundational material is introduced and explained as needed, but not treated in full detail. References to omitted material are provided for interested readers. Aimed at graduate students and researchers, this is an accessible account of a highly informative area of complex geometry.

Author : Frances Clare Kirwan
Publisher : Princeton University Press
Page : 220 pages
File Size : 42,9 Mb
Release : 1984-12-21
Category : Mathematics
ISBN : 0691083703

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Cohomology of Quotients in Symplectic and Algebraic Geometry by Frances Clare Kirwan Pdf

These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their relevance to moduli problems in algebraic geometry. The author describes two different approaches to the problem. One is purely algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain degenerate functions.

Author : Tracy O'Neill
Publisher : Soho Press
Page : 392 pages
File Size : 47,5 Mb
Release : 2020-05-12
Category : Fiction
ISBN : 9781641291125

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Quotients by Tracy O'Neill Pdf

Two people search for connection in a world of fractured identities and aliases, global finance, big data, intelligence bureaucracies, algorithmic logic, and terror. Jeremy Jordan and Alexandra Chen hope to make a quiet home together but struggle to find a space safe from their personal secrets. For Jeremy, this means leaving behind his former life as an intelligence operative during The Troubles in Northern Ireland. For Alexandra, a high-powered job in image management for whole countries cannot prepare her for her missing brother’s sudden reappearance. In a culture of limitless surveillance, Jeremy and Alexandra will go to great lengths to protect what is closest to them. Spanning decades and continents, their saga brings them into contact with a down-and-out online journalist, shadowy security professionals, and jockeying technology experts, each of whom has a different understanding of whether information really protects us, and how we might build a world worth trusting in our paranoid age.

Author : James William Bruce,Farid Tari
Publisher : CRC Press
Page : 292 pages
File Size : 49,5 Mb
Release : 1999-08-26
Category : Mathematics
ISBN : 1584881429

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Real and Complex Singularities by James William Bruce,Farid Tari Pdf

The boundaries of singularity theory are broad and vague, connecting the most important applications of mathematics and science with more abstract areas. Optics, robotics, computer vision, Hamiltonian mechanics, bifurcation theory and differential equations are among the variety of topics that benefit from developments in the theory. With singularity theory encompassing more and more applications, Real and Complex Singularities provides insight into the future of this expanding field. Comprising refereed contributions to the Fifth Workshop on Real and Complex Singularities, this volume addresses three important areas related to the broad subject of singularities. The first section deals with questions within singularity theory itself, representing the topics currently being investigated. The second explores applications of singularity theory to differential geometry, robotics, and computer vision. The final section consists of applications to bifurcation theory and dynamical systems. With over two-hundred tables that provide quick access to data, this volume is a complete overview of the most current topics and applications of singularity theory. Real and Complex Singularities creates the opportunity for you to stay up-to-date with recent advances and discover promising directions for future research in the field.

Author : Richard N. Ball,Joanne Walters-Wayland
Publisher : Unknown
Page : 70 pages
File Size : 51,9 Mb
Release : 2002
Category : Algebraic topology
ISBN : STANFORD:36105113092030

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C- and C* -quotients in Pointfree Topology by Richard N. Ball,Joanne Walters-Wayland Pdf

Author : Popular educator
Publisher : Unknown
Page : 900 pages
File Size : 46,8 Mb
Release : 1884
Category : Electronic
ISBN : OXFORD:600029144

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The Popular Educator ... by Popular educator Pdf