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Completion, ?ech and Local Homology and Cohomology, Peter Schenzel; Anne-Marie Simon


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Автор: Peter Schenzel; Anne-Marie Simon
Название:  Completion, ?ech and Local Homology and Cohomology
ISBN: 9783030072070
Издательство: Springer
Классификация:

ISBN-10: 303007207X
Обложка/Формат: Soft cover
Страницы: 346
Вес: 0.56 кг.
Дата издания: 2018
Серия: Springer Monographs in Mathematics
Язык: English
Издание: Softcover reprint of
Иллюстрации: 21 illustrations, black and white; xix, 346 p. 21 illus.
Размер: 234 x 156 x 19
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Подзаголовок: Interactions Between Them
Ссылка на Издательство: Link
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Поставляется из: Германии
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. A basic construction is the ?ech complex with respect to a system of elements and its free resolution. The study of its homology and cohomology will play a crucial role in order to understand left derived functors of completion and right derived functors of torsion. This is useful for the extension and refinement of results known for modules to unbounded complexes in the more general setting of not necessarily Noetherian rings.The book is divided into three parts. The first one is devoted to modules, where the adic-completion functor is presented in full details with generalizations of some previous completeness criteria for modules. Part II is devoted to the study of complexes. Part III is mainly concerned with duality, starting with those between completion and torsion and leading to new aspects of various dualizing complexes.The Appendix covers various additional and complementary aspects of the previous investigations and also provides examples showing the necessity of the assumptions. The book is directed to readers interested in recent progress in Homological and Commutative Algebra. Necessary prerequisites include some knowledge of Commutative Algebra and a familiarity with basic Homological Algebra. The book could be used as base for seminars with graduate students interested in Homological Algebra with a view towards recent research.
Дополнительное описание: Part I: Modules,- 1. Preliminaries and auxiliary results.- 2. Adic topology and completion.- 3. Ext-Tor vanishing and completeness criteria.- PartII: Complexes.- 4. Homological Preliminaries.- 5. Koszul complexes, depth and codepth.- 6. ?ech complexes, ?e



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: 15372.00 р.
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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.

Cohomology of Groups: 87

Автор: Kenneth S. Brown
Название: Cohomology of Groups: 87
ISBN: 0387906886 ISBN-13(EAN): 9780387906881
Издательство: Springer
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Цена: 9362.00 р.
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Описание: Suitable for second year graduate students, this text introduces cohomology theory (involving interplay between algebra and topology) with a minimum of prerequisites. It features basics of the subject, as well as exercises that are given prior to discussion of more specialized topics.

Group Cohomology and Algebraic Cycles

Автор: Totaro
Название: Group Cohomology and Algebraic Cycles
ISBN: 1107015774 ISBN-13(EAN): 9781107015777
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: Group cohomology reveals a deep relation between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles.

Central Simple Algebras and Galois Cohomology

Автор: Philippe Gille, Tamas Szamuely
Название: Central Simple Algebras and Galois Cohomology
ISBN: 1107156378 ISBN-13(EAN): 9781107156371
Издательство: Cambridge Academ
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Цена: 12197.00 р.
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Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.

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: 11880.00 р.
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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.

Derived Functors And Sheaf Cohomology

Автор: Bruzzo Ugo, Otero Beatriz Grana
Название: Derived Functors And Sheaf Cohomology
ISBN: 9811207283 ISBN-13(EAN): 9789811207280
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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Описание:

The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra.

The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining Čech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter.

Manifolds, Sheaves, and Cohomology

Автор: Wedhorn
Название: Manifolds, Sheaves, and Cohomology
ISBN: 3658106328 ISBN-13(EAN): 9783658106324
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model.

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: 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.

Elliptic Cohomology

Автор: Charles B. Thomas
Название: Elliptic Cohomology
ISBN: 0306460971 ISBN-13(EAN): 9780306460975
Издательство: Springer
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Цена: 20257.00 р.
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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.

Algebraic Quotients. Torus Actions and Cohomology. The Adjoi

Автор: Bialynicki-Birula A.
Название: Algebraic Quotients. Torus Actions and Cohomology. The Adjoi
ISBN: 3642077455 ISBN-13(EAN): 9783642077456
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". 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.

Notes on Crystalline Cohomology. (MN-21):

Автор: Berthelot Pierre, Ogus Arthur
Название: Notes on Crystalline Cohomology. (MN-21):
ISBN: 0691628084 ISBN-13(EAN): 9780691628080
Издательство: Wiley
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Цена: 7128.00 р.
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Описание: Written by Arthur Ogus on the basis of notes from Pierre Berthelot`s seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieti


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