{
  "id": "2011.10409",
  "version": "v1",
  "published": "2020-11-20T13:57:38.000Z",
  "updated": "2020-11-20T13:57:38.000Z",
  "title": "A criterion for the existence of logarithmic connections on curves over a perfect field",
  "authors": [
    "S. Manikandan",
    "Anoop Singh"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $k$ be a perfect field, and $X$ an irreducible smooth projective curve over $k$. We give a criterion for a vector bundle over $X$ to admit a logarithmic connection singular over a finite subset of $X$ with given residues, where residues are assumed to be rigid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-20T13:57:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perfect field",
      "logarithmic connection singular",
      "vector bundle",
      "irreducible smooth projective curve",
      "finite subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}