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On the Brauer group of an arithmetic scheme. II
Izvestiya: Mathematics, 2003Let \(V\) 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, 2001Let \(V\) 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, 2014The 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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Specializing Brauer classes in Picard schemes
Journal of Pure and Applied Algebra, 2022Qixiao Ma
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