11 citations · 12 across the 3 of their papers we have counts for
3 papers
math.NT2007
\ell-adic class field theory for regular local rings
Kanetomo Sato
In this paper, we prove the -adic abelian class field theory for henselian regular local rings of equi-characteristic assuming the surjectivity of Galois symbol maps, which i…
math.AG2006★ 11 cited
A p-adic regulator map and finiteness results for arithmetic schemes
Shuji Saito, Kanetomo Sato
A main theme of the paper is a conjecture of Bloch-Kato on the image of -adic regulator maps for a proper smooth variety over an algebraic number field . The conjecture f…
math.AG2006★ 1 cited
-adic étale Tate twists and arithmetic duality
Kanetomo Sato
In this paper, we define, for arithmetic schemes with semistable reduction, -adic objects playing the roles of Tate twists in étale topology, and establish their fundamental pro…