{
  "id": "1807.04030",
  "version": "v1",
  "published": "2018-07-11T09:30:50.000Z",
  "updated": "2018-07-11T09:30:50.000Z",
  "title": "Limit mixed Hodge structures of hyperkähler manifolds",
  "authors": [
    "Andrey Soldatenkov"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "This note is inspired by the work of Deligne on the local behavior of Hodge structures at infinity. We study limit mixed Hodge structures of degenerating families of compact hyperk\\\"ahler manifolds. We show that when the monodromy action on $H^2$ has maximal index of unipotency, the limit mixed Hodge structures on all cohomology groups are of Hodge-Tate type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-11T09:30:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D06",
      "14D07",
      "14D05"
    ],
    "keywords": [
      "hyperkähler manifolds",
      "study limit mixed hodge structures",
      "maximal index",
      "monodromy action",
      "local behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}