%0 Journal Article
%T An explicit approach to residues on and dualizing sheaves of arithmetic surfaces
%A Matthew Morrow
%J Mathematics
%D 2009
%I arXiv
%X We develop a theory of residues for arithmetic surfaces, establish the reciprocity law around a point, and use the residue maps to explicitly construct the dualizing sheaf of the surface. These are generalisations of known results for surfaces over a perfect field. In an appendix, explicit local ramification theory is used to recover the fact that in the case of a local complete intersection the dualizing and canonical sheaves coincide.
%U http://arxiv.org/abs/0911.0590v2