{
  "id": "1606.01278",
  "version": "v1",
  "published": "2016-06-03T21:19:10.000Z",
  "updated": "2016-06-03T21:19:10.000Z",
  "title": "Simple D-module components of local cohomology modules",
  "authors": [
    "Claudia Polini",
    "Robin Hartshorne"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "For a projective variety V in P^n over a field of characteristic zero, with homogeneous ideal I in A = k[x0,x1,...,xn], we consider the local cohomology modules H^i_I(A). These have a structure of holonomic D-module over A, and we investigate their filtration by simple D-modules. In case V is nonsingular, we can describe completely these simple components in terms of the Betti numbers of V.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-03T21:19:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13A30",
      "14A10"
    ],
    "keywords": [
      "local cohomology modules",
      "simple d-module components",
      "characteristic zero",
      "holonomic d-module",
      "simple components"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}