The relative Brauer group and generalized cyclic crossed products for a ramified covering

DOI10.1016/j.jalgebra.2015.10.013zbMath1376.14025OpenAlexW2185937821MaRDI QIDQ906854

Timothy J. Ford

Publication date: 29 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.10.013

zbMATH Keywords

Galois cohomologyAzumaya algebrasBrauer groupDivisor class groupGeneralized crossed products

Mathematics Subject Classification ID

Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35) Brauer groups (algebraic aspects) (16K50) Class groups (13C20)

Related Items (1)

The Brauer group of an affine double plane associated to a hyperelliptic curve

Cites Work

• Brauer groups of singular del Pezzo surfaces
• The relative Brauer group and generalized cross products for a cyclic covering of affine space
• Brauer groups and Galois cohomology for a Krull scheme
• A cohomological interpretation of the reflexive Brauer group
• On the Brauer group of \(k[x_ 1,\dots ,x_ n,1/f\)]
• On the Brauer group of a localization
• Reflexive modules and algebra class groups over noetherian integrally closed domains
• Reflexive modules
• Théorie de la descente et algèbres d'Azumaya
• Class groups of multiplicative invariants
• On Brauer groups of double covers of ruled surfaces
• The Brauer group of a ringed space
• On generalized crossed product and Brauer group
• Separable algebras over commutative rings
• Introduction to Grothendieck duality theory
• Some remarks on Brauer groups of \(K3\) surfaces
• The Relative Brauer Group of an Affine Double Plane
• On the Brauer group of diagonal quartic surfaces
• Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines
• The Brauer Group of a Commutative Ring
• Some theorems on azumaya algebras
• Brauer Groups, Class Groups and Maximal Orders for a Krull Scheme
• On the brauer group of a designularization of a normal surface¹
• Unramified Brauer Classes on Cyclic Covers of the Projective Plane
• An Exact Sequence in Galois Cohomology
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