On Saltman’s p-Adic Curves Papers

DOI10.1007/978-1-4419-6211-9_2zbMath1245.16014OpenAlexW2117184689MaRDI QIDQ3001245

Eric S. Brussel

Publication date: 31 May 2011

Published in: Quadratic Forms, Linear Algebraic Groups, and Cohomology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-6211-9_2

zbMATH Keywords

Brauer groupsdivision algebrasindicesdegreesalgebraic function fields\(p\)-adic curves

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Finite-dimensional division rings (16K20) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Brauer groups (algebraic aspects) (16K50)

Related Items

On some finiteness properties of algebraic groups over finitely generated fields ⋮ Colliot-Thélène's conjecture and finiteness of u-invariants ⋮ Tame division algebras of prime period over function fields of \(p\)-adic curves. ⋮ Formal constructions in the Brauer group of the function field of a 𝑝-adic curve ⋮ Spinor groups with good reduction

Cites Work

• Division algebras over surfaces.
• A cohomological interpretation of Brauer groups of rings
• Cyclic algebras over \(p\)-adic curves.
• Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
• The Brauer Group of a Commutative Ring
• Curves Over Discrete Valuation Rings
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