Results 211 to 220 of about 14,418,431 (251)
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Invariant Brauer group of an abelian variety
Israel Journal of Mathematics, 2020We study a new object that can be attached to an abelian variety or a complex torus: the invariant Brauer group, as recently defined by Yang Cao. Over the field of complex numbers this is an elementary abelian 2-group with an explicit upper bound on the ...
M. Orr +3 more
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Journal of Pure and Applied Algebra, 2019
We prove that the Brauer group of the moduli stack of elliptic curves M 1 , 1 , k over an algebraically closed field k of characteristic 2 is isomorphic to Z / ( 2 ) .
Minseon Shin
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We prove that the Brauer group of the moduli stack of elliptic curves M 1 , 1 , k over an algebraically closed field k of characteristic 2 is isomorphic to Z / ( 2 ) .
Minseon Shin
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COMPARING THE BRAUER GROUP TO THE TATE–SHAFAREVICH GROUP
Journal of the Institute of Mathematics of Jussieu, 2017We give a formula relating the order of the Brauer group of a surface fibered over a curve over a finite field to the order of the Tate–Shafarevich group of the Jacobian of the generic fiber.
Thomas H. Geisser
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Two torsion in the Brauer group of a hyperelliptic curve
Manuscripta mathematica, 2014We construct unramified central simple algebras representing 2-torsion classes in the Brauer group of a hyperelliptic curve, and show that every 2-torsion class can be constructed this way when the curve has a rational Weierstrass point or when the base ...
Brendan Creutz, B. Viray
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1993
This chapter is concerned with the classification of finite dimensional central division algebras over a given field k. In the case k = R, the Frobenius Theorem shows that R and H are the only finite dimensional central division algebras over R. This kind of classification is optimal in the sense that we have an explicit, easy-to-understand list of all
Benson Farb, R. Keith Dennis
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This chapter is concerned with the classification of finite dimensional central division algebras over a given field k. In the case k = R, the Frobenius Theorem shows that R and H are the only finite dimensional central division algebras over R. This kind of classification is optimal in the sense that we have an explicit, easy-to-understand list of all
Benson Farb, R. Keith Dennis
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Izvestiya: Mathematics, 2000
The author considers the Brauer group \(\text{Br}(V)\) and the cohomological Brauer group \(\text{Br}^\prime(V)\) of a smooth projective variety \(V\) over the perfect field \(k\). Let \(\ell\) be a prime. Assume that \(V\) has a \(k\)-rational point, so that \(\text{Br}(k) \subset \text{Br}^\prime(V)\).
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The author considers the Brauer group \(\text{Br}(V)\) and the cohomological Brauer group \(\text{Br}^\prime(V)\) of a smooth projective variety \(V\) over the perfect field \(k\). Let \(\ell\) be a prime. Assume that \(V\) has a \(k\)-rational point, so that \(\text{Br}(k) \subset \text{Br}^\prime(V)\).
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ON THE STRUCTURE OF THE BRAUER GROUP OF FIELDS
Mathematics of the USSR-Izvestiya, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Algebra and Its Applications, 2008
Two non-isomorphic finite groups form a Brauer pair if there exist a bijection for the conjugacy classes and a bijection for the irreducible characters that preserve all the character values and the power map. A group is called a VZ-group if all its nonlinear irreducible characters vanish off the center.
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Two non-isomorphic finite groups form a Brauer pair if there exist a bijection for the conjugacy classes and a bijection for the irreducible characters that preserve all the character values and the power map. A group is called a VZ-group if all its nonlinear irreducible characters vanish off the center.
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Divisible abelian groups are Brauer groups
2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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