{
  "id": "1809.01895",
  "version": "v1",
  "published": "2018-09-06T09:17:42.000Z",
  "updated": "2018-09-06T09:17:42.000Z",
  "title": "Notes on A^1-contractibility and A^1-excision",
  "authors": [
    "Yuri Shimizu"
  ],
  "categories": [
    "math.AG",
    "math.AT",
    "math.KT"
  ],
  "abstract": "We prove that a smooth scheme of dimension $n$ over a perfect field is A^1-weakly equivalent to a point if it is A^1-n-connected. We also prove an excision result for A^1-homotopy sheaves over a perfect field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-06T09:17:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perfect field",
      "smooth scheme",
      "excision result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}