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Duality for relative logarithmic de Rham–Witt sheaves and wildly ramified class field theory over finite fields

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Jannsen, Uwe ; Saito, Shuji ; Zhao, Yigeng
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Date of publication of this fulltext: 22 Nov 2019 10:10


In order to study p-adic etale cohomology of an open subvariety U of a smooth proper variety X over a perfect field of characteristic p > 0, we introduce new p-primary torsion sheaves. It is a modification of the logarithmic de Rham-Witt sheaves of X depending on effective divisors D supported in X - U. Then we establish a perfect duality between cohomology groups of the logarithmic de Rham-Witt ...


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