{
  "id": "1904.03886",
  "version": "v1",
  "published": "2019-04-08T08:34:22.000Z",
  "updated": "2019-04-08T08:34:22.000Z",
  "title": "A monodromy criterion for existence of Neron models of abelian schemes in characteristic zero",
  "authors": [
    "Giulio Orecchia"
  ],
  "comment": "54 pages. Comments are welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "We consider the problem of existence of Neron models for a family of abelian varieties over a base of dimension greater than 1. We show that when S is of equicharacteristic zero, the condition of toric additivity introduced in [Ore18] is sufficient for the existence of a Neron model, and also necessary under some extra assumptions. Furthermore, we give an equivalent formulation of toric additivity in terms of monodromy action on the l-adic Tate module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-08T08:34:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D05",
      "14D06",
      "14K05"
    ],
    "keywords": [
      "neron model",
      "abelian schemes",
      "monodromy criterion",
      "toric additivity",
      "l-adic tate module"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}