The group of units on an affine variety

DOI10.1142/S0219498814500650zbMath1315.13006arXiv1303.5687OpenAlexW3098534192MaRDI QIDQ2878800

Timothy J. Ford

Publication date: 5 September 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5687

zbMATH Keywords

Galois cohomologygroup of unitsclass groupétale cohomologyaffine algebraic varietyunits in a ring

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Divisibility and factorizations in commutative rings (13A05) Affine geometry (14R99)

Related Items (4)

The Brauer group of an affine rational surface with a non-rational singularity ⋮ The Brauer group of an affine double plane associated to a hyperelliptic curve ⋮ A Survey on the Non-injectivity of the Vaserstein Symbol in Dimension Three ⋮ Affine-ruled varieties without the Laurent cancellation property

Cites Work

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• The relative Brauer group of a cyclic cover of affine space.
• Points at infinity on the Fermat curves
• The Brauer group of an affine cone
• The Brauer group of an affine rational surface with a non-rational singularity
• The Relative Brauer Group of an Affine Double Plane
• Division Algebras and Unit Groups on Surfaces

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