{
  "id": "2401.13186",
  "version": "v1",
  "published": "2024-01-24T02:16:28.000Z",
  "updated": "2024-01-24T02:16:28.000Z",
  "title": "Campana conjecture for coverings of toric surfaces over function fields",
  "authors": [
    "Carlo Gasbarri",
    "Ji Guo",
    "Julie Tzu-Yueh Wang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2106.15881",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We first proved Vojta's abc conjecture over function fields for Campana points on projective toric surfaces with high multiplicity along the boundary. As a consequence, we show a version of Campana's conjecture on finite covering of projective toric surfaces over function fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-24T02:16:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J97",
      "14H05",
      "11J87"
    ],
    "keywords": [
      "function fields",
      "campana conjecture",
      "projective toric surfaces",
      "vojtas abc conjecture",
      "high multiplicity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}