Brauer group
Conic bundle fourfolds with nontrivial unramified Brauer group
... formula (given in Theorem 2.6) depends on the geometry and combinatorics of the components of the discriminant divisor and their mutual intersections, as well as the structure of their double covers induced by the lines ...
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Bad reduction of the Brauer–Manin obstruction
... the Brauer group which vanish on all zero-cycles of degree ...no Brauer–Manin obstruction to the existence of rational ...the Brauer–Manin obstruction when a variety reduces to a cone at a bad ...
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On the arithmetic of del Pezzo surfaces of degree 2
... the Brauer group. By [18], only 2- and 3-torsion Brauer group elements occur for del Pezzo surfaces of degree greater than or equal to ...
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Götzer, Thomas (2017): The transcendental part of higher Brauer groups in weight 2. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... The classical cohomological Brauer group Br ( X ) = H 2 et ´ ( X, G m ) of a smooth scheme X is related to many deep questions in algebraic geometry. For example, it yields an obstruction to the Tate ...
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Stable rationality of quadric and cubic surface bundle fourfolds
... unramified Brauer group In this section, we construct an irreducible reference hypersurface Y of bidegree (2, 3) in P 2 × P 3 over an algebraically closed field k of characteristic zero, thereby giving ...
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Tilting Sheaves on Brauer-Severi Schemes and Arithmetic Toric Varieties
... by Br(X). And obviously Br(−) is a functor from schemes to abelian groups. Next we will show that for a rational smooth projective variety, its Brauer group is the Brauer group of its ground ...
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Thesis
... the Brauer group of a field and its connections with cohomology ...the Brauer group with cohomology ...the Brauer group and cohomology groups is established, specific examples of ...
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Effective bounds for Brauer groups of Kummer surfaces over number fields
... The quartic surface Y has sixteen nodes, and by considering the projection from one of these nodes, we may realize Y as a double cover of the plane. Thus X can be realized as a degree 2 K3 surface and our Theorem 1.1 ...
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Uniform distribution of Hasse invariants
... GREENFIELD, Uniform Distribution in Subgroups of the Brauer Group of an Algebraic Number Field, Pacific J.[r] ...
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Derived categories of singular surfaces
... Let us point out that we do not have an answer to the following question: is it true that decomposition (1.8) exists for any generator β ∈ Br(X)? In Lemma 5.16 we explicitly present the set of all generators β of the ...
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Brauer relations, induction theorems and applications
... This was the topic of a very nice article by Bley and Boltje [6], in which they give examples of Cohomological Mackey functors which occur naturally in number theory. Using Corollary 2.6.15 of Yoshida’s Theorem along ...
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The decomposition matrices of the Brauer algebra over the complex field
... It is probably helpful to note that the original route to the solution of the problem was slightly different. It proceeded from a conjecture, following [20, §1.2], that D would consist of evaluations of parabolic ...
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The limiting blocks of the Brauer algebra in characteristic p
... A necessary and sufficient condition for two partitions to be in the same block if char F = 0 was given in [CDM09a], using the theory of towers of recollement [CMPX06]. It was shown in [CDM09b] that this is equivalent to ...
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On Brauer algebra simple modules over the complex field
... the k-algebra with basis all pair partitions of 2n. We can represent these basis elements as diagrams (so-called Brauer diagrams) having 2n vertices arranged in 2 rows of n vertices each, such that each vertex is ...
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Regulator constants of integral representations, together with relative motives over Shimura varieties
... class group relates the class group of K to T 0 (K) = O × K /µ K ⊗ R / Z (which is also the Pontryagin dual of Hom(O × K /µ K , Z ...class group and a cor- responding 9-lemma diagram to prove related ...
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The blocks of the Brauer algebra in characteristic zero
... The structure of the Brauer algebra becomes much more complicated when con- sidered over an arbitrary field k. For general k and δ integral this algebra still acts as a centraliser algebra; this has been shown in ...
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The geometry of Brauer graph algebras and cluster mutations.
... a Brauer graph is a ribbon graph with a vertex labelling corresponding to the values of the multiplicity function of the Brauer ...a Brauer graph ...a Brauer graph algebra unique up to derived ...
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The graded center of the stable category of a Brauer tree algebra
... a Brauer tree algebra is stably equivalent to a symmetric serial algebra with the same number e of isomorphism classes of simple modules and the same ex- ceptional multiplicity ...
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On geometrically defined extensions of the Temperley–Lieb category in the Brauer category
... on Brauer algebras since this work was first reported (in ...of Brauer algebras, such as the works of Li [45], and Ehring and Stroppel ...relate Brauer algebras with geometry and alcove ...the ...
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Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero
... The symmetric and general linear groups satisfy a double centraliser property over tensor space. This relationship is known as Schur–Weyl duality and allows one to pass information between the representation theories of ...
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