The Bauer Group of a Rational Surface.
The Brauer and Brauer-Taylor groups of a symmetric monoidal category
The Brauer group and the Brauer–Manin set of products of varieties
Let and be smooth and projective varieties over a field finitely generated over , and let and be the varieties over an algebraic closure of obtained from and , respectively, by extension of the ground field. We show that the Galois invariant subgroup of Br Br( has finite index in the Galois invariant subgroup of Br. This implies that the cokernel of the natural map Br Br Br is finite when is a number field. In this case we prove that the Brauer–Manin set of the product of...
The Brauer Group of A [T].
The Brauer group of desingularization of moduli spaces of vector bundles over a curve
Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M C (r; L) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.
The Brauer group of integral group rings.
The Brauer ring of a commutative ring
The defect of weak approximation for homogeneous spaces
The multipliers of similitudes and the Brauer group of homogeneous varieties.
The Quadratic Schur Subgroup over Local and Global Fields.
Torsion in CH2 of Severi-Brauer varieties and indecomposability of generic algebras.
Transformation de Fourier homogène
Dans leur démonstration de la correspondance de Drinfeld-Langlands, Frenkel, Gaitsgory et Vilonen utilisent la transformation de Fourier géométrique, ce qui les oblige à travailler soit avec les faisceaux -adiques en caractéristique , soit avec les -Modules en caractéristique . En fait, ils n’utilisent cette transformation de Fourier géométrique que pour des faisceaux homogènes pour lesquels on s’attend à avoir une transformation de Fourier sur . L’objet de cette note est de proposer une telle...
Twists of Central Simple Algebras and Endomorphism Algebras of Some Abelian Varieties.
Two-dimensional orders of finite representation type.