6 papers
The Torus of Triangles
Eric Brussel, Madeleine E. Goertz
We prove the 2-torus , an abelian linear algebraic group, is a fine moduli space of labeled, oriented, possibly-degenerate inscribable similarity classes of triangles, w…
Noncyclic Division Algebras over Fields of Brauer Dimension One
Eric Brussel
Let be a complete discretely valued field of rank one, with residue field $\Q_p$. It is well known that period equals index in $\Br(K)$. We prove that when there exist no…
Division Algebra Cyclicity in Prime Degree over a p-Adic Curve
Eric Brussel
We reprove two results of Saltman, Theorem 5.1 and Corollary 5.2 of [Sa07]: If F is the function field of a smooth p-adic curve and D is an F-division algebra of prime degree l\neq…
Cyclic Length in the Tame Brauer Group of the Function Field of a p-Adic Curve
Eric Brussel, Kelly McKinnie, Eduardo Tengan
Let be the function field of a smooth curve over the -adic number field $\Q_p$. We show that for each prime-to- number the -torsion subgroup $\H^2(F,μ_n)={}_n\Br(F…
Tame Covers and Cohomology of Relative Curves over Complete Discrete Valuation Rings, with Applications to the Brauer Group
Eric Brussel, Eduardo Tengan
We prove the existence of noncrossed product and indecomposable division algebras over the function field of a smooth p-adic curve, especially when the curve does not admit a smoot…
Tame division algebras of prime period over function fields of -adic curves
E. Brussel, E. Tengan
Let F be a field of transcendence degree one over a p-adic field, and let l be a prime not equal to p. Results of Merkurjev and Saltman show that H^2(F,μ_l) is generated by Z/l-cyc…