Equivariant Sheaves And Functors
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Equivariant Sheaves And Functors
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Author : Joseph Bernstein
language : en
Publisher: Springer
Release Date : 2006-11-15
Equivariant Sheaves And Functors written by Joseph Bernstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The equivariant derived category of sheaves is introduced. All usual functors on sheaves are extended to the equivariant situation. Some applications to the equivariant intersection cohomology are given. The theory may be useful to specialists in representation theory, algebraic geometry or topology.
Equivariant Sheaves And Functors
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Author : Joseph Bernstein
language : en
Publisher:
Release Date : 2014-01-15
Equivariant Sheaves And Functors written by Joseph Bernstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Extension Groups Of Tautological Sheaves On Hilbert Schemes Of Points On Surfaces
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Author : Andreas Krug
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2012
Extension Groups Of Tautological Sheaves On Hilbert Schemes Of Points On Surfaces written by Andreas Krug and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
In this thesis cohomological invariants of tensor products of tautological objects in the derived category of Hilbert schemes of points on surfaces are studied. The main tool is the Bridgeland-King-Reid-Haiman equivalence between the derived category of the Hilbert scheme and the equivariant derived category of the cartesian power of the surface. The work of Scala on this topic is further developed leading to a new description of the image of tensor products of tautological bundles under the BKRH equivalence. This description leads to formulas for the Euler characteristics of triple tensor products of tautological objects for arbitrary n and for arbitrary tensor products in the case n=2. Furthermore a formula for the extension groups between tautological objects is proven and the Yoneda product is described.
Foundations Of Grothendieck Duality For Diagrams Of Schemes
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Author : Joseph Lipman
language : en
Publisher: Springer
Release Date : 2009-03-07
Foundations Of Grothendieck Duality For Diagrams Of Schemes written by Joseph Lipman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-07 with Mathematics categories.
Part One of this book covers the abstract foundations of Grothendieck duality theory for schemes in part with noetherian hypotheses and with some refinements for maps of finite tor-dimension. Part Two extends the theory to the context of diagrams of schemes.
Geometric Combinatorics
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Author : Ezra Miller
language : en
Publisher: American Mathematical Soc.
Release Date :
Geometric Combinatorics written by Ezra Miller and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.
Harmonic Analysis On Reductive P Adic Groups
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Author : Robert S. Doran, Paul J. Sally, Jr., and Loren Spice
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Harmonic Analysis On Reductive P Adic Groups written by Robert S. Doran, Paul J. Sally, Jr., and Loren Spice and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Harmonic analysis categories.
Handbook Of Algebra
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Author :
language : en
Publisher: Elsevier
Release Date : 1995-12-18
Handbook Of Algebra written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-18 with Mathematics categories.
Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. Each chapter of the book combines some of the features of both a graduate-level textbook and a research-level survey. This book is divided into eight sections. Section 1A focuses on linear algebra and discusses such concepts as matrix functions and equations and random matrices. Section 1B cover linear dependence and discusses matroids. Section 1D focuses on fields, Galois Theory, and algebraic number theory. Section 1F tackles generalizations of fields and related objects. Section 2A focuses on category theory, including the topos theory and categorical structures. Section 2B discusses homological algebra, cohomology, and cohomological methods in algebra. Section 3A focuses on commutative rings and algebras. Finally, Section 3B focuses on associative rings and algebras. This book will be of interest to mathematicians, logicians, and computer scientists.
Polynomial Mappings
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Author : Wladyslaw Narkiewicz
language : en
Publisher: Springer
Release Date : 2006-11-14
Polynomial Mappings written by Wladyslaw Narkiewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.
The Classification Of Three Dimensional Homogeneous Complex Manifolds
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Author : Jörg Winkelmann
language : en
Publisher: Springer
Release Date : 2006-11-14
The Classification Of Three Dimensional Homogeneous Complex Manifolds written by Jörg Winkelmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book provides a classification of all three-dimensional complex manifolds for which there exists a transitive action (by biholomorphic transformations) of a real Lie group. This means two homogeneous complex manifolds are considered equivalent if they are isomorphic as complex manifolds. The classification is based on methods from Lie group theory, complex analysis and algebraic geometry. Basic knowledge in these areas is presupposed.
Nearly Projective Boolean Algebras
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Author : Lutz Heindorf
language : en
Publisher: Springer
Release Date : 2006-11-14
Nearly Projective Boolean Algebras written by Lutz Heindorf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The book is a fairly complete and up-to-date survey of projectivity and its generalizations in the class of Boolean algebras. Although algebra adds its own methods and questions, many of the results presented were first proved by topologists in the more general setting of (not necessarily zero-dimensional) compact spaces. An appendix demonstrates the application of advanced set-theoretic methods to the field. The intended readers are Boolean and universal algebraists. The book will also be useful for general topologists wanting to learn about kappa-metrizable spaces and related classes. The text is practically self-contained but assumes experience with the basic concepts and techniques of Boolean algebras.