{
  "id": "2406.11922",
  "version": "v1",
  "published": "2024-06-17T07:44:12.000Z",
  "updated": "2024-06-17T07:44:12.000Z",
  "title": "On the splitting of surfaces in motivic stable homotopy category",
  "authors": [
    "Haoyang Liu"
  ],
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "Let $k$ be a field and $X$ be a smooth projective surface over $k$ with a rational point, we discuss the condition of splitting off the top cell for the motivic stable homotopy type of $X$. We also study some outlying examples, such as K3 surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-17T07:44:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "motivic stable homotopy category",
      "motivic stable homotopy type",
      "smooth projective surface",
      "k3 surfaces",
      "rational point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}