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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…