Bounding the symbol length in the Galois cohomology of function fields of p-adic curves

2010/03/01 by Venapally Suresh · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation

paper · pdf · doi:10.4171/cmh/198

openalex publication_date 2010/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

Let K be a function field of a p -adic curve and l a prime not equal to p . Assume that K contains a primitive l th root of unity. We show that every element in the l -torsion subgroup of the Brauer group of K is a tensor product of two cyclic algebras over K .

Cited by

• Suresh Venapally [wikipedia]

Related

• Cyclic Length in the Tame Brauer Group of the Function Field of a p-Adic Curve
• Tame division algebras of prime period over function fields of p-adic curves
• Cyclic Algebras over p-adic curves
• Prime Torsion in the Brauer Group of an Elliptic Curve
• Third Galois cohomology group of function fields of curves over number fields