{
  "id": "1702.02074",
  "version": "v1",
  "published": "2017-02-07T15:59:33.000Z",
  "updated": "2017-02-07T15:59:33.000Z",
  "title": "The algebraic hull of the Kontsevich-Zorich cocycle",
  "authors": [
    "Alex Eskin",
    "Simion Filip",
    "Alex Wright"
  ],
  "categories": [
    "math.DS",
    "math.AG",
    "math.GT"
  ],
  "abstract": "We compute the algebraic hull of the Kontsevich-Zorich cocycle over any GL^+_2(R) invariant subvariety of the Hodge bundle, and derive from this finiteness results on such subvarieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-07T15:59:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kontsevich-zorich cocycle",
      "algebraic hull",
      "finiteness results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}