{
  "id": "0911.0590",
  "version": "v2",
  "published": "2009-11-03T15:31:31.000Z",
  "updated": "2011-01-14T19:14:29.000Z",
  "title": "An explicit approach to residues on and dualizing sheaves of arithmetic surfaces",
  "authors": [
    "Matthew Morrow"
  ],
  "comment": "This is an update and correction to an earlier version of the paper, entitled \"An explicit approach to residues on and canonical sheaves of arithmetic surfaces\"; an erroneous lemma (lemma 5.4) in the earlier version necessitated restructuring of the paper, though the main results are largely unchanged",
  "journal": "New York Journal of Mathematics, vol. 16, 2010, pp. 575 -- 627, http://nyjm.albany.edu/j/2010/16-25.html",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-14T19:14:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H25",
      "14F10"
    ],
    "keywords": [
      "arithmetic surfaces",
      "explicit approach",
      "dualizing sheaves",
      "explicit local ramification theory",
      "local complete intersection"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0590M"
    }
  }
}