Results 31 to 40 of about 14,418,431 (251)

Group actions and coverings of Brauer graph algebras [PDF]

open access: yes, 2012
We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of group actions and coverings of algebras. In particular, we show that any Brauer graph can be covered by a tower of coverings of Brauer graphs such that the ...
Green, Edward L   +2 more
core   +1 more source

Unramified Brauer Group and Its Applications [PDF]

open access: yesTranslations of Mathematical Monographs, 2015
This is a textbook on arithmetic geometry with special regard to unramified Brauer groups of algebraic varieties. The topics include Galois cohomology, Brauer groups, obstructions to stable rationality, arithmetic and geometry of quadrics, Weil ...
S. Gorchinskiy, C. Shramov
semanticscholar   +1 more source

Bad reduction of the Brauer-Manin obstruction [PDF]

open access: yes, 2015
We relate the Brauer group of a smooth variety over a p-adic field to the geometry of the special fibre of a regular model, using the purity theorem in \'etale cohomology. As an illustration, we describe how the Brauer group of a smooth del Pezzo surface
Bright, Martin
core   +3 more sources

Cohomology and the Brauer groups of diagonal surfaces

open access: yes, 2021
We present a method for calculating the Brauer group of a surface given by a diagonal equation in the projective space. For diagonal quartic surfaces with coefficients in Q we determine the Brauer groups over Q and Q(i).Comment: 45 ...
Gvirtz, Damián, Skorobogatov, Alexei N.
core   +1 more source

Solutions of the Yang–Baxter Equation Arising from Brauer Configuration Algebras

open access: yesComputation, 2022
Currently, researching the Yang–Baxter equation (YBE) is a subject of great interest among scientists of diverse areas in mathematics and other sciences. One of the fundamental open problems is to find all of its solutions.
Agustín Moreno Cañadas   +2 more
doaj   +1 more source

The Brauer group of the moduli stack of elliptic curves [PDF]

open access: yes, 2016
We compute the Brauer group of the moduli stack of elliptic curves over the integers, localizations of the integers, finite fields of odd characteristic, and algebraically closed fields of characteristic not $2$.
Benjamin Antieau, Lennart Meier
semanticscholar   +1 more source

A geometric characterisation of the blocks of the Brauer algebra [PDF]

open access: yes, 2006
We give a geometric description of the blocks of the Brauer algebra $B_n(\delta)$ in characteristic zero as orbits of the Weyl group of type $D_n$. We show how the corresponding affine Weyl group controls the representation theory of the Brauer algebra ...
Cox, Anton   +2 more
core   +2 more sources

On the arithmetic of del Pezzo surfaces of degree 2 [PDF]

open access: yes, 2004
We study the arithmetic of certain del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2- and 4-torsion elements in the Brauer ...
Kresch, Andrew, Tschinkel, Yuri
core   +2 more sources

On the Brauer Group of an Arithmetic Model of a Variety over a Global Field of Positive Characteristic

open access: yesМоделирование и анализ информационных систем, 2016
Let V be a smooth projective variety over a global field k = κ(C) of rational functions on a smooth projective curve C over a finite field Fq of characteristic p.
T. V. Prokhorova
doaj   +1 more source

Irreducible Characters with Cyclic Anchor Group

open access: yesAxioms, 2023
We consider G to be a finite group and p as a prime number. We fix ψ to be an irreducible character of G with its restriction to all p-regular elements of G and ψ0 to be an irreducible Brauer character.
Manal H. Algreagri, Ahmad M. Alghamdi
doaj   +1 more source

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