Kęstutis Česnavičius

activity

20102025

most citedPurity for the Brauer group

20 citations · 101 across the 24 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.NT2013

Local factors valued in normal domains

Kestutis Cesnavicius

We give an exposition of Deligne's theory of local $ε_{0}$ -factors over fields and discrete valuation rings under the assumption that the theory over the complex numbers is known. We…

math.NT2013★ 10 cited

Selmer groups and class groups

Kestutis Cesnavicius

Let $A$ be an abelian variety over a global field $K$ of characteristic $p \geq 0$ . If $A$ has nontrivial (resp. full) $K$ -rational $l$ -torsion for a prime $l \neq = p$ , we exploit th…

math.NT2013★ 14 cited

Selmer groups as flat cohomology groups

Kestutis Cesnavicius

Given a prime number $p$ , Bloch and Kato showed how the $p^{\infty}$ -Selmer group of an abelian variety $A$ over a number field $K$ is determined by the $p$ -adic Tate module. In gene…