{
  "id": "1507.04484",
  "version": "v1",
  "published": "2015-07-16T08:38:36.000Z",
  "updated": "2015-07-16T08:38:36.000Z",
  "title": "Correspondences and singular varieties",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "11 pages. Comments welcome ! To appear in Monatsh. Math. (in slightly different version)",
  "doi": "10.1007/s00605-015-0772-1",
  "categories": [
    "math.AG"
  ],
  "abstract": "What is generally known as the \"Bloch--Srinivas method\" consists of decomposing the diagonal of a smooth projective variety, and then considering the action of correspondences in cohomology. In this note, we observe that this same method can also be extended to singular and quasi--projective varieties. We give two applications of this observation: the first is a version of Mumford's theorem, the second is concerned with the Hodge conjecture for singular varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-16T08:38:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "singular varieties",
      "correspondences",
      "bloch-srinivas method",
      "smooth projective variety",
      "mumfords theorem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150704484L"
    }
  }
}