Local Cohomology, Robin Hartshorne

Автор: Claus Scheiderer
Название: Real and Etale Cohomology
ISBN: 3540584366 ISBN-13(EAN): 9783540584360
Издательство: Springer
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Описание: This is a systematic study of the relationship between the Etale cohomology of a scheme and the orderings of its residue fields. It also contains new results in group cohomology and topos theory. Readers should have some familiarity with the basics of Etale cohomology and Grothendieck sites.

Автор: M. Kolster; G?nter Tamme
Название: Introduction to ?tale Cohomology
ISBN: 3540571167 ISBN-13(EAN): 9783540571162
Издательство: Springer
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Описание: Etale Cohomology is one of the most important methods in modern Algebraic Geometry and Number Theory. It has, in the last decades, brought fundamental new insights in arithmetic and algebraic geometric problems with many applications and many important results. The book gives a short and easy introduction into the world of Abelian Categories, Derived Functors, Grothendieck Topologies, Sheaves, General Etale Cohomology, and Etale Cohomology of Curves.

Автор: Jean-Pierre Labesse; Joachim Schwermer
Название: Cohomology of Arithmetic Groups and Automorphic Forms
ISBN: 3540534229 ISBN-13(EAN): 9783540534228
Издательство: Springer
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Описание: Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces.

Автор: P. A. Schweitzer
Название: Differential Topology, Foliations and Gelfand-Fuks Cohomology
ISBN: 3540078681 ISBN-13(EAN): 9783540078685
Издательство: Springer
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Автор: Birger Iversen
Название: Cohomology of Sheaves
ISBN: 3540163891 ISBN-13(EAN): 9783540163893
Издательство: Springer
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Цена: 11878.00 р.
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Автор: Karl H. Hofmann; Eric C. Nummela; Paul S. Mostert
Название: Cohomology Theories for Compact Abelian Groups
ISBN: 3642806724 ISBN-13(EAN): 9783642806728
Издательство: Springer
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Цена: 11173.00 р.
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Описание: Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo- metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com- pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian." Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two.

Автор: Dale Husem?ller; S. Echterhoff; B. Kr?tz; Michael
Название: Basic Bundle Theory and K-Cohomology Invariants
ISBN: 3540749551 ISBN-13(EAN): 9783540749554
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object.

Автор: D.B. Fuks
Название: Cohomology of Infinite-Dimensional Lie Algebras
ISBN: 1468487671 ISBN-13(EAN): 9781468487671
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The theory of infinite-dimensional Lie algebras differs markedly from the theory of finite-dimensional Lie algebras in that the latter possesses powerful classification theo- rems, which usually allow one to "recognize" any finite- dimensional Lie algebra (over the field of complex or real numbers), i.e., find it in some list.

Автор: W.Y. Hsiang
Название: Cohomology Theory of Topological Transformation Groups
ISBN: 3642660541 ISBN-13(EAN): 9783642660542
Издательство: Springer
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Цена: 12577.00 р.
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Автор: Jon F. Carlson; L. Townsley; Lu?s Valero-Elizondo;
Название: Cohomology Rings of Finite Groups
ISBN: 9048163854 ISBN-13(EAN): 9789048163854
Издательство: Springer
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Цена: 13974.00 р.
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Автор: Alejandro Adem; R. James Milgram
Название: Cohomology of Finite Groups
ISBN: 3642057853 ISBN-13(EAN): 9783642057854
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Some Historical Background This book deals with the cohomology of groups, particularly finite ones. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field.

Автор: Dale Husem?ller; S. Echterhoff; B. Kr?tz; Michael
Название: Basic Bundle Theory and K-Cohomology Invariants
ISBN: 3642094368 ISBN-13(EAN): 9783642094361
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object.