{
  "id": "1401.1979",
  "version": "v2",
  "published": "2014-01-09T12:22:17.000Z",
  "updated": "2015-03-24T08:21:51.000Z",
  "title": "The K($π$,1)-property for marked curves over finite fields",
  "authors": [
    "Philippe Lebacque",
    "Alexander Schmidt"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We investigate the K($\\pi$,1)-property for p of smooth, marked curves (X,T) defined over finite fields of characteristic p. We prove that (X,T) has the K($\\pi$,1)-property if X is affine and give positive and negative examples in the proper case. We also consider the unmarked proper case over a finite field of characteristic different to p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-09T12:22:17.000Z",
      "title": "The K(π,1)-property for marked curves over finite fields",
      "abstract": "We investigate the $K(\\pi,1)$-property for $p$ of smooth, marked curves $(X,T)$ defined over finite fields of characteristic $p$. We prove that $(X,T)$ has the $K(\\pi,1)$-property if $X$ is affine and give positive and negative examples in the proper case. We also consider the unmarked proper case over a finite field of characteristic different to $p$.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-03-24T08:21:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite field",
      "marked curves",
      "characteristic",
      "unmarked proper case"
    ],
    "publication": {
      "doi": "10.1070/IM2015v079n05ABEH002770",
      "journal": "Izvestiya: Mathematics",
      "year": 2015,
      "month": "Oct",
      "volume": 79,
      "number": 5,
      "pages": 1043
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015IzMat..79.1043L"
    }
  }
}