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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)
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Group Prescheme係数のCohomologiesについて (SchemeのBrauer群研究会報告集)
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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 +2 more
exaly +2 more sources
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 +2 more
exaly +2 more sources
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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