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The Brauer-Grothendieck Group, Colliot-Thйlиne Jean-Louis, Skorobogatov Alexei N.


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Автор: Colliot-Thйlиne Jean-Louis, Skorobogatov Alexei N.
Название:  The Brauer-Grothendieck Group
ISBN: 9783030742478
Издательство: Springer
Классификация:


ISBN-10: 3030742474
Обложка/Формат: Hardcover
Страницы: 450
Вес: 0.83 кг.
Дата издания: 09.10.2021
Серия: Ergebnisse der mathematik und ihrer grenzgebiete. 3. folge / a series of modern surveys in mathematics
Язык: English
Издание: 1st ed. 2021
Иллюстрации: Xviii, 450 p.
Размер: 23.39 x 15.60 x 2.54 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry.


Graded Rings and Graded Grothendieck Groups

Автор: Hazrat
Название: Graded Rings and Graded Grothendieck Groups
ISBN: 1316619583 ISBN-13(EAN): 9781316619582
Издательство: Cambridge Academ
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Цена: 9029.00 р.
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Описание: This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra, and brings together results scattered across the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.

Galois Covers, Grothendieck-Teichmьller Theory and Dessins d`Enfants: Interactions Between Geometry, Topology, Number Theory and Algebra, Leicester, U

Автор: Neumann Frank, Schroll Sibylle
Название: Galois Covers, Grothendieck-Teichmьller Theory and Dessins d`Enfants: Interactions Between Geometry, Topology, Number Theory and Algebra, Leicester, U
ISBN: 3030517942 ISBN-13(EAN): 9783030517946
Издательство: Springer
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Цена: 22359.00 р.
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Описание: This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on `Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd`Enfants`, which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

Galois Covers, Grothendieck-Teichmьller Theory and Dessins d`Enfants: Interactions between Geometry, Topology, Number Theory and Algebra, Leicester, U

Автор: Neumann Frank, Schroll Sibylle
Название: Galois Covers, Grothendieck-Teichmьller Theory and Dessins d`Enfants: Interactions between Geometry, Topology, Number Theory and Algebra, Leicester, U
ISBN: 3030517977 ISBN-13(EAN): 9783030517977
Издательство: Springer
Цена: 22359.00 р.
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Описание: This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on `Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd`Enfants`, which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

Brauer Groups, Hopf Algebras and Galois Theory

Автор: Stefaan Caenepeel
Название: Brauer Groups, Hopf Algebras and Galois Theory
ISBN: 1402003463 ISBN-13(EAN): 9781402003462
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Devoted to the Brauer group of a commutative ring and related invariants. This volume includes the development of the theory of Grothendieck topologies and etale cohomology. It has a discussion of topics such as Gabber`s theorem and the theory of Taylor`s big Brauer group of algebras. It also offers the development of the Galois theory.

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.

Selected Papers II: On Algebraic Geometry, Including Correspondence with Grothendieck

Автор: Mumford David
Название: Selected Papers II: On Algebraic Geometry, Including Correspondence with Grothendieck
ISBN: 149399588X ISBN-13(EAN): 9781493995882
Издательство: Springer
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Цена: 11179.00 р.
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Описание: These articles span the years from 1961-1980 while David Mumford was an active researcher in the area of algebraic geometry. This volume includes many important papers previously omitted. Mumford`s correspondence with Grothendieck is also included.

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic

Автор: Auel Asher, Hassett Brendan, Vбrilly-Alvarado Anthony
Название: Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic
ISBN: 3319836013 ISBN-13(EAN): 9783319836010
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

The Brauer group is not a derived invariant.- Twisted derived equivalences for affine schemes.- Rational points on twisted K3 surfaces and derived equivalences.- Universal unramified cohomology of cubic fourfolds containing a plane.- Universal spaces for unramified Galois cohomology.- Rational points on K3 surfaces and derived equivalence.- Unramified Brauer classes on cyclic covers of the projective plane.- Arithmetically Cohen-Macaulay bundles on cubic fourfolds containing a plane.- Brauer groups on K3 surfaces and arithmetic applications.- On a local-global principle for H3 of function fields of surfaces over a finite field.- Cohomology and the Brauer group of double covers.

Brauer Groups and Obstruction Problems

Автор: Asher Auel; Brendan Hassett; Anthony V?rilly-Alvar
Название: Brauer Groups and Obstruction Problems
ISBN: 3319468510 ISBN-13(EAN): 9783319468518
Издательство: Springer
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Цена: 13974.00 р.
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Описание:

The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory.

Contributors:

- Nicolas Addington

- Benjamin Antieau

- Kenneth Ascher

- Asher Auel

- Fedor Bogomolov

- Jean-Louis Colliot-Th l ne

- Krishna Dasaratha

- Brendan Hassett

- Colin Ingalls

- Mart Lahoz

- Emanuele Macr

- Kelly McKinnie

- Andrew Obus

- Ekin Ozman

- Raman Parimala

- Alexander Perry

- Alena Pirutka

- Justin Sawon

- Alexei N. Skorobogatov

- Paolo Stellari

- Sho Tanimoto

- Hugh Thomas

- Yuri Tschinkel

- Anthony V rilly-Alvarado

- Bianca Viray

- Rong Zhou

On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks

Автор: Lluis Puig
Название: On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks
ISBN: 3034897324 ISBN-13(EAN): 9783034897327
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect.


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