We show that Bloch's complex of relative zero-cycles can be used as a dualizing
complex over perfect fields and number rings. This leads to duality theorems
for torsion sheaves on arbitrary separated schemes of finite type over
algebraically closed fields, finite fields, local fields of mixed
characteristic, and rings of integers in number rings, generalizing results
which so far have only been known for smooth schemes or in low dimensions, and
unify the p-adic and l-adic theory.
For the text of the paper,
For the text of the paper, see http://arxiv.org/abs/math.AG/0608456.