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Maximal Cohen-Macaulay Modules and Tate Cohomology, Ragnar-Olaf Buchweitz


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Автор: Ragnar-Olaf Buchweitz
Название:  Maximal Cohen-Macaulay Modules and Tate Cohomology
ISBN: 9781470453404
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470453401
Обложка/Формат: Paperback
Страницы: 175
Вес: 0.34 кг.
Дата издания: 28.02.2022
Серия: Mathematical surveys and monographs
Язык: English
Размер: 180 x 255 x 15
Ключевые слова: Algebra,Algebraic geometry
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Поставляется из: Англии
Описание: This book is a lightly edited version of the unpublished manuscript Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz. The central objects of study are maximal Cohen-Macaulay modules over (not necessarily commutative) Gorenstein rings. The main result is that the stable category of maximal Cohen-Macaulay modules over a Gorenstein ring is equivalent to the stable derived category and also to the homotopy category of acyclic complexes of projective modules. This assimilates and significantly extends earlier work of Eisenbud on hypersurface singularities. There is also an extensive discussion of duality phenomena in stable derived categories, extending Tate duality on cohomology of finite groups. Another noteworthy aspect is an extension of the classical BGG correspondence to super-algebras. There are numerous examples that illustrate these ideas. The text includes a survey of developments subsequent to, and connected with, Buchweitzs manuscript.
Дополнительное описание: Algebra|Algebraic geometry


Completion, ?ech and Local Homology and Cohomology

Автор: Schenzel
Название: Completion, ?ech and Local Homology and Cohomology
ISBN: 3319965166 ISBN-13(EAN): 9783319965161
Издательство: Springer
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Цена: 102480.00 T
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Описание: The aim of the present monograph is a thorough study of the adic-completion, its left derived functors and their relations to the local cohomology functors, as well as several completeness criteria, related questions and various dualities formulas.

Elliptic Cohomology

Автор: Charles B. Thomas
Название: Elliptic Cohomology
ISBN: 0306460971 ISBN-13(EAN): 9780306460975
Издательство: Springer
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Цена: 135050.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Elliptic cohomology is a beautiful theory with both geometric and arithmetic aspects. This title intends to construct this cohomology theory, and evaluate it on classifying spaces BG of finite groups G. It also discusses variants, generalisations and potential applications.

Cohomology of Finite Groups

Автор: Alejandro Adem; R. James Milgram
Название: Cohomology of Finite Groups
ISBN: 3642057853 ISBN-13(EAN): 9783642057854
Издательство: Springer
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Цена: 88500.00 T
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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.

A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology

Автор: Pierre Guillot
Название: A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology
ISBN: 1108421776 ISBN-13(EAN): 9781108421775
Издательство: Cambridge Academ
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Цена: 79200.00 T
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Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number theory, representation theory, algebraic geometry, and algebraic topology.

Galois Cohomology

Автор: P. Ion; Jean-Pierre Serre
Название: Galois Cohomology
ISBN: 364263866X ISBN-13(EAN): 9783642638664
Издательство: Springer
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Цена: 65210.00 T
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Описание: This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.

Basic Bundle Theory and K-Cohomology Invariants

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: 74530.00 T
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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.

de Rham Cohomology of Differential Modules on Algebraic Varieties

Автор: Andrй Yves, Baldassarri Francesco, Cailotto Maurizio
Название: de Rham Cohomology of Differential Modules on Algebraic Varieties
ISBN: 3030397211 ISBN-13(EAN): 9783030397210
Издательство: Springer
Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "...A nice feature of the book [is] that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong...This is a nicely-written book [that] studies algebraic differential modules in several variables."--Mathematical Reviews

de Rham Cohomology of Differential Modules on Algebraic Varieties

Автор: Andrй Yves, Baldassarri Francesco, Cailotto Maurizio
Название: de Rham Cohomology of Differential Modules on Algebraic Varieties
ISBN: 3030397181 ISBN-13(EAN): 9783030397180
Издательство: Springer
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Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "...A nice feature of the book [is] that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong...This is a nicely-written book [that] studies algebraic differential modules in several variables."--Mathematical Reviews

Maximal $\textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type

Автор: David A. Craven
Название: Maximal $\textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type
ISBN: 1470451190 ISBN-13(EAN): 9781470451196
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
Наличие на складе: Нет в наличии.
Описание: We study embeddings of PSL2(pa) into exceptional groups G(pb)forG = F4,E6,2E6,E7,andp aprimewitha,b positive integers. With a few possible exceptions, we prove that any almost simple group with socle PSL2(pa), that is maximal inside an almost simpleexceptional group of Lie type F4, E6, 2E6 and E7, is the fixed points under the Frobenius map of a corresponding maximal closed subgroup of type A1 inside the algebraic group. Together with a recent result of Burness and Testerman for p the Coxeter number plus one, this proves that all maximal subgroups with socle PSL2(pa) inside these finite almost simple groups are known, with three possible exceptions (pa = 7, 8,25 for E7). In the three remaining cases we provide considerable information about a potential maximal subgroup.

Maximal Abelian Sets of Roots

Автор: R. Lawther
Название: Maximal Abelian Sets of Roots
ISBN: 147042679X ISBN-13(EAN): 9781470426798
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
Наличие на складе: Невозможна поставка.
Описание: In this work the author lets $\Phi$ be an irreducible root system, with Coxeter group $W$. He considers subsets of $\Phi$ which are abelian, meaning that no two roots in the set have sum in $\Phi \cup \{ 0 \}$. He classifies all maximal abelian sets up to the action of $W$: for each $W$-orbit of maximal abelian sets we provide an explicit representative $X$.


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