E. Tengan

activity

20092018

most citedA proof of Grothendieck's base change theorem

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

math.RA2018

Cyclicity and indecomposability in the Brauer group of a $p$ -adic curve

Eduardo Tengan

For a $p$ -adic curve $X$ , we study conditions under which all classes in the $n$ -torsion of $B r (X)$ are $Z / n$ -cyclic. We show that in general not all classes are $\mathbb{…

math.AG2013★ 1 cited

A proof of Grothendieck's base change theorem

Eduardo Tengan

We give an elementary short proof of Grothendieck's base change theorem for the cohomology of flat coherent sheaves.

math.RA2013

Cyclic Length in the Tame Brauer Group of the Function Field of a p-Adic Curve

Eric Brussel, Kelly McKinnie, Eduardo Tengan

Let $F$ be the function field of a smooth curve over the $p$ -adic number field $\Q_p$. We show that for each prime-to- $p$ number $n$ the $n$ -torsion subgroup $\H^2(F,μ_n)={}_n\Br(F…

math.NT2011

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…

math.NT2010

Tame division algebras of prime period over function fields of $p$ -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…

math.RA2009

Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves