{
  "id": "1911.02096",
  "version": "v1",
  "published": "2019-11-05T21:41:56.000Z",
  "updated": "2019-11-05T21:41:56.000Z",
  "title": "The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius",
  "authors": [
    "Zhiyou Wu"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove that there is a natural plectic weight filtration on the cohomology of Hilbert modular varieties in the spirit of Nekovar and Scholl. This is achieved with the help of Morel's work on weight t-structures and a detailed study of partial Frobenius. We prove in particular that the partial Frobenius extends to toroidal and minimal compactifications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-05T21:41:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shimura varieties",
      "cohomology",
      "natural plectic weight filtration",
      "hilbert modular varieties",
      "partial frobenius extends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}