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Tate-Safarevic GroupとBrauer Groupとの有限性について (SchemeのBrauer群研究会報告集)
Tate-Safarevic GroupとBrauer Groupとの有限性について (SchemeのBrauer群研究会報告集)openaire +1 more source
Group Prescheme係数のCohomologiesについて (SchemeのBrauer群研究会報告集)
Group Prescheme係数のCohomologiesについて (SchemeのBrauer群研究会報告集)openaire +1 more source
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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 +1 more
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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 +1 more
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On the Brauer-Wielandt-Harada theorem for group-like regular association schemes
Discrete Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masayoshi Yoshikawa
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Brauer group of Hilbert scheme of two points of a smooth projective surface and applications
Proceedings - Mathematical Sciences, 2023The 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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Brauer Groups, Class Groups and Maximal Orders for a Krull Scheme
Canadian Journal of Mathematics, 1982In a previous paper [13] one of us considered Brauer groups Br(C) and class groups Cl(C) attached to certain monoidal categories C of divisorial R-lattices. That paper showed that the groups arising for a suitable pair of categories C1 ⊆ C2 could be related by a tidy exact sequenceIt was shown that this exact sequence specializes to a number of exact ...
Lee, Heisook, Orzech, Morris
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Brauer groups of diagonal quartic surfaces [PDF]
Journal of Symbolic Computation, 2006 We describe explicit methods of exhibiting elements of the Brauer groups of diagonal quartic surfaces. Using these methods, we compute the algebraic Brauer–Manin obstruction in two contrasting examples.
Martin Bright
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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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