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Mackey-functor structure on the brauer groups of a finite galois covering of schemes

Mackey-functor structure on the brauer groups of a finite galois covering of schemes
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Brauer groups of schemes

Ergebnisse Der Mathematik Und Ihrer Grenzgebiete, 2021
There are two ways to generalise the Brauer group of fields to schemes. The definition of the Brauer group of a field k in terms of central simple algebras over k readily extends to schemes as the group of equivalence classes of Azumaya algebras.
Jean-Louis Colliot-Thélène, Alexei N. Skorobogatov   +1 more
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Brauer group of Hilbert scheme of two points of a smooth projective surface and applications

Proceedings - Mathematical Sciences, 2023
The authors study the Brauer group for the punctual Hilbert scheme \(X^{(2)}=\operatorname{Hilb}^2(X)\) for \(d=2\) points on smooth surfaces \(X\) over algebraically closed ground fields \(k\) of characteristic \(p\neq 2\). They relate it with various spectral sequences to the Brauer groups of the symmetric product \(X^{[2]}=\operatorname{Sym}^2(X)=X ...
A J Parameshwaran, Yashonidhi Pandey
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On the Brauer group of an arithmetic scheme. II

Izvestiya: Mathematics, 2003
Let \(V\) be a smooth projective variety over a number field \(K\) and \(A\) be the ring of integers. If \(\pi: X\to\text{Spec\,}A\) is an arithmetic model of \(V\) (i.e. \(\pi\) is a proper flat morphism of finite type, \(X\) a regular scheme, the generic fibre of \(\pi\) is isomorphic to \(V\) and all scheme fibres of \(\pi\) are reduced), \(\ell ...
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On the Brauer group of an arithmetic scheme

Izvestiya: Mathematics, 2001
Let \(V\) be a smooth projective variety over a number field \(K\). The author first proves that if \(V\) is a minimal Enriques surface over \(K\) such that \(V(K)\neq\emptyset\) then the \(l\)-component of \(\text{Br}(V)/\text{Br}(K)\) is finite if and only if \(l\neq 2\).
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On the finiteness of the Brauer group of an arithmetic scheme

Mathematical Notes, 2014
The article is concerned with the finiteness of the Brauer groups of certain arithmetic schemes. Let \(k \hookrightarrow \mathbb{C}\), \([k:\mathbb{Q}] < \infty\) be a number field with ring of integers \(A\). Let \(V\) be a smooth projective variety over \(k\).
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Characters, Brauer characters, and local Brauer groups

Communications in Algebra, 2021
Alexandre Turull
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Addition of Brauer classes via Picard schemes

Journal of Algebra, 2022
Qixiao
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On the Brauer-Wielandt-Harada theorem for group-like regular association schemes

Discrete Mathematics, 2022
Masayoshi Yoshikawa
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