Division algebras over surfaces.

DOI10.1016/j.jalgebra.2008.02.028zbMath1171.16011OpenAlexW2084400724MaRDI QIDQ948721

David J. Saltman

Publication date: 17 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.02.028

zbMATH Keywords

Brauer groupsfields of fractionsétale cohomologydivision algebrascyclic algebrasaffine schemescyclic Galois extensionscentral algebrasfunction fields of surfacesramifications

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Finite-dimensional division rings (16K20) Brauer groups of schemes (14F22) Brauer groups (algebraic aspects) (16K50)

Related Items (5)

Third Galois cohomology group of function fields of curves over number fields ⋮ Indecomposable and noncrossed product division algebras over function fields of smooth \(p\)-adic curves. ⋮ Colliot-Thélène's conjecture and finiteness of u-invariants ⋮ Bloch–Ogus Sequence in Degree Two ⋮ On Saltman’s p-Adic Curves Papers

Cites Work

• Generic Galois extensions and problems in field theory
• Cyclic algebras over \(p\)-adic curves.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• ON THE STRUCTURE OF THE BRAUER GROUP OF FIELDS
• Brauer-Hilbertian Fields
• Some Elementary Examples of Unirational Varieties Which are Not Rational
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