{
  "id": "0807.4308",
  "version": "v3",
  "published": "2008-07-27T16:14:09.000Z",
  "updated": "2011-06-13T13:54:00.000Z",
  "title": "Singularities in positive characteristic, stratification and simplification of the singular locus",
  "authors": [
    "Ana Bravo",
    "Orlando Villamayor"
  ],
  "comment": "Several typos corrected. Minor improvements on the presentation of the published paper",
  "journal": "Adv. in Math. 224 (2010)1349-1418",
  "doi": "10.1016/j.aim.2010.01.005",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce an upper semi-continuous function that stratifies the highest multiplicity locus of a hypersurface in arbitrary characteristic (over a perfect field). The blow-up along the maximum stratum defined by this function leads to a form of simplification of the singularities, also known as a reduction to the monomial case.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-06-13T13:54:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E15"
    ],
    "keywords": [
      "singular locus",
      "positive characteristic",
      "singularities",
      "simplification",
      "stratification"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.4308B"
    }
  }
}