Results 21 to 30 of about 14,418,431 (251)

ZERO-LOCI OF BRAUER GROUP ELEMENTS ON SEMI-SIMPLE ALGEBRAIC GROUPS [PDF]

Journal of the Institute of Mathematics of Jussieu, 2017
We consider the problem of counting the number of rational points of bounded height in the zero-loci of Brauer group elements on semi-simple algebraic groups over number fields.
D. Loughran, Ramin Takloo-Bighash, Sho Tanimoto   +2 more
semanticscholar   +1 more source

Cayley Hash Values of Brauer Messages and Some of Their Applications in the Solutions of Systems of Differential Equations

Computation, 2022
Cayley hash values are defined by paths of some oriented graphs (quivers) called Cayley graphs, whose vertices and arrows are given by elements of a group H. On the other hand, Brauer messages are obtained by concatenating words associated with multisets
María Alejandra Osorio Angarita, Agustín Moreno Cañadas, Cristian Camilo Fúneme, Odette M. Mendez, Robinson-Julian Serna   +4 more
doaj   +1 more source

The Brauer Group of the Universal Moduli Space of Vector Bundles Over Smooth Curves [PDF]

International mathematics research notices, 2018
We compute the Brauer group of the universal moduli stack of vector bundles on (possibly marked) smooth curves of genus at least three over the complex numbers.
Roberto Fringuelli, Roberto Pirisi
semanticscholar   +1 more source

The unramified Brauer group of homogeneous spaces with finite stabilizer [PDF]

Transactions of the American Mathematical Society, 2017
We give formulas for calculating the unramified Brauer group of a homogeneous space X X of a semisimple simply connected group G G with finite geometric stabilizer F ...
G. Arteche
semanticscholar   +1 more source

Gelfand Models for Diagram Algebras [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
A Gelfand model for a semisimple algebra $\mathsf{A}$ over $\mathbb{C}$ is a complex linear representation that contains each irreducible representation of $\mathsf{A}$ with multiplicity exactly one.
Tom Halverson
doaj   +1 more source

Motivic classes and the integral Hodge Question

Comptes Rendus. Mathématique, 2021
We prove that the obstruction to the integral Hodge Question factors through the completion of the Grothendieck ring of varieties for the dimension filtration.
Scavia, Federico
doaj   +1 more source

The Schur-Clifford subgroup of the Brauer-Clifford group [PDF]

, 2015
We define a Schur-Clifford subgroup of Turull's Brauer-Clifford group, similar to the Schur subgroup of the Brauer group. The Schur-Clifford subgroup contains exactly the equivalence classes coming from the intended application to Clifford theory of ...
Ladisch, Frieder
core   +1 more source

Unramified Brauer group of quotient spaces by finite groups [PDF]

Journal of Algebra
We provide a general algorithm for the computation of the unramified Brauer group of quotients of rational varieties by finite groups.
A. Kresch, Y. Tschinkel
semanticscholar   +1 more source

The Brauer group is torsion [PDF]

Proceedings of the American Mathematical Society, 1981
In [3], a well-known fact about the Brauer group of a field was generalized to show that the Brauer group of a commutative ring was torsion. In fact, if A is Azumaya of constant rank n2 over R, then A (= A OR O * R A) ~ EndR(P) for P an progenerator. In this note we will present a relatively elementary proof of this theorem, and we will also describe P
openaire   +2 more sources

The Cohomological Brauer Group of a Torsion ${\mathbb{G}}_{m}$-Gerbe [PDF]

International mathematics research notices, 2018
Let $S$ be a scheme and let $\pi : \mathcal{G} \to S$ be a ${\mathbb{G}}_{m,S}$-gerbe corresponding to a torsion class $[\mathcal{G}]$ in the cohomological Brauer group ${\operatorname{Br}}^{\prime}(S)$ of $S$.
Minseon Shin
semanticscholar   +1 more source