$p$-adic étale Tate twists and arithmetic duality

Mathematics – Algebraic Geometry

Scientific paper

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66 papges. to appear in Ann. Sci. Ec. Norm. Sup. (4)

Scientific paper

In this paper, we define, for arithmetic schemes with semistable reduction,
$p$-adic objects playing the roles of Tate twists in \'etale topology, and
establish their fundamental properties.

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