The relative Brauer group of a cyclic cover of affine space.

DOI10.1016/j.jpaa.2010.06.030zbMath1267.16018OpenAlexW2101257235MaRDI QIDQ626726

Timothy J. Ford

Publication date: 18 February 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.06.030

zbMATH Keywords

Picard groupsrelative Brauer groupsrational function fieldsfinite-dimensional central division algebras

Mathematics Subject Classification ID

Picard groups (14C22) Finite-dimensional division rings (16K20) Brauer groups of schemes (14F22) Brauer groups (algebraic aspects) (16K50)

Related Items (2)

The relative Brauer group and generalized cross products for a cyclic covering of affine space ⋮ The group of units on an affine variety

Cites Work

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• Azumaya algebras with involutions
• On the Brauer group of a localization
• Points at infinity on the Fermat curves
• The Brauer group of an affine cone
• The Brauer Group of a Commutative Ring
• Division algebras that ramify only on a plane quartic curve
• Some Elementary Examples of Unirational Varieties Which are Not Rational
• Division algebras which only ramify along a hyperelliptic curve in \(\mathbb{P}^2\)

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