Unramified Brauer Group and Its Applications, Sergey Gorchinskiy, Constantin Shramov

Автор: Stefaan Caenepeel
Название: Brauer Groups, Hopf Algebras and Galois Theory
ISBN: 1402003463 ISBN-13(EAN): 9781402003462
Издательство: Springer
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Цена: 69870.00 T
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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.

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.

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: 93160.00 T
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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

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: 46570.00 T
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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.