{
  "id": "1005.1972",
  "version": "v1",
  "published": "2010-05-11T23:39:18.000Z",
  "updated": "2010-05-11T23:39:18.000Z",
  "title": "D-module structure of local cohomology modules of toric algebras",
  "authors": [
    "Jen-Chieh Hsiao"
  ],
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Let S be a toric algebra over a field K of characteristic 0 and let I be a monomial ideal of S. We show that the local cohomology modules H^i_I(S) are of finite length over the ring of differential operators D(S;K), generalizing the classical case of a polynomial algebra S. As an application, we compute the characteristic cycles of some local cohomology modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-11T23:39:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13D45",
      "13N10",
      "14M25"
    ],
    "keywords": [
      "local cohomology modules",
      "toric algebra",
      "d-module structure",
      "characteristic cycles",
      "polynomial algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.1972H"
    }
  }
}