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In order to study
-adic étale cohomology of an open subvariety
of a smooth proper variety
over a perfect field of characteristic
, we introduce new
-primary torsion sheaves. It is a modification of the logarithmic de Rham–Witt sheaves of
depending on effective divisors
. Then we establish a perfect duality between cohomology groups of the logarithmic de Rham–Witt cohomology of
and an inverse limit of those of the mentioned modified sheaves. Over a finite field, the duality can be used to study wildly ramified class field theory for the open subvariety
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