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Rational Singularities and the Brauer Group

✍ Scribed by F. Demeyer; T. Ford; R. Miranda


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
360 KB
Volume
162
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


The Brauer Group of Irreducible Coalgebr
✍ J Cuadra; J.R Garcı́a Rozas; B Torrecillas; F Van Oystaeyen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 159 KB

That is, for a cocommuta-Ε½ . Ε½ . Ε½ . tive irreducible coalgebra C, the homomorphism y \*: Br C Βͺ Br C\* is injective. The proof uses Morita᎐Takeuchi theory and the linear topology of all closed Ε½ . cofinite left ideals in C\*. As an inmediate consequence, Br C is a torsion group. Ε½ . Some cases wher

The Division Algebras and Brauer Group o
✍ E.S. Brussel πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 158 KB

The set of division algebras central and finite dimensional over a field F Ε½ . are nicely parameterized by the Brauer group Br F , which is naturally 2 Ε½ β…· . isomorphic to the Galois cohomology group H G , F . Since the latter F sep is an arithmetic invariant, the theory of F's division algebras and

Rational Trinomials with the Alternating
✍ Alain Hermez; Alain Salinier πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 170 KB

For any integer n 7, we show how to explicitly build an infinite number of rational trinomals of degree n whose Galois group over Q is isomorphic to A n .

On the cotangent cohomology of rational
✍ Trond StΓΈlen Gustavsen πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 182 KB

## Abstract We prove dimension formulas for the cotangent spaces __T__ ^1^ and __T__ ^2^ for a class of rational surface singularities by calculating a correction term in the general dimension formulas. We get that it is zero if the dual graph of the rational surface singularity __X__ does not cont