{
  "id": "math/0604167",
  "version": "v1",
  "published": "2006-04-07T15:07:22.000Z",
  "updated": "2006-04-07T15:07:22.000Z",
  "title": "On motivic principal value integrals",
  "authors": [
    "Willem Veys"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Inspired by p-adic (and real) principal value integrals, we introduce motivic principal value integrals associated to multi-valued rational differential forms on smooth algebraic varieties. We investigate the natural question whether (for complete varieties) this notion is a birational invariant. The answer seems to be related to the dichotomy of the Minimal Model Program.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-07T15:07:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E15",
      "14E30",
      "32S45",
      "28B99"
    ],
    "keywords": [
      "minimal model program",
      "smooth algebraic varieties",
      "multi-valued rational differential forms",
      "motivic principal value integrals",
      "natural question"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4167V"
    }
  }
}