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 MoritaαTakeuchi 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
Rational Singularities and the Brauer Group
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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 .
## 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