{
  "id": "1303.0010",
  "version": "v1",
  "published": "2013-02-28T21:00:13.000Z",
  "updated": "2013-02-28T21:00:13.000Z",
  "title": "Segre classes of monomial schemes",
  "authors": [
    "Paolo Aluffi"
  ],
  "journal": "Electron. Res. Announc. Math. Sci., 20 (2013) 55-70",
  "doi": "10.3934/era.2013.20.55",
  "categories": [
    "math.AG"
  ],
  "abstract": "We propose an explicit formula for the Segre classes of monomial subschemes of nonsingular varieties, such as schemes defined by monomial ideals in projective space. The Segre class is expressed as a formal integral on a region bounded by the corresponding Newton polyhedron. We prove this formula for monomial ideals in two variables and verify it for some families of examples in any number of variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-28T21:00:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C17",
      "14B05"
    ],
    "keywords": [
      "segre classes",
      "monomial schemes",
      "monomial ideals",
      "monomial subschemes",
      "explicit formula"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.0010A"
    }
  }
}