{
  "id": "1211.5327",
  "version": "v3",
  "published": "2012-11-22T16:25:37.000Z",
  "updated": "2016-09-23T12:54:29.000Z",
  "title": "Intermediate extension of Chow motives of Abelian type",
  "authors": [
    "Jörg Wildeshaus"
  ],
  "comment": "83 pages; accepted for publication in Adv. in Math. The results from Section 7 (on realizations) now admit l-adic versions",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this article, we give an unconditional construction of a motivic analogue of the intermediate extension in the context of Chow motives of Abelian type. Our main application concerns intermediate extensions of Chow motives associated to Kuga families to the Baily--Borel compactification of a Shimura variety.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-21T18:43:21.000Z",
      "comment": "80 pages; minor errors corrected, references to [CD] updated, a detailed discussion of integral models of Siegel varieties and their compactifications added",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-09-23T12:54:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "11F80",
      "14C25",
      "14F32",
      "14F42",
      "14K10",
      "18E05",
      "19E15"
    ],
    "keywords": [
      "chow motives",
      "abelian type",
      "main application concerns intermediate extensions",
      "motivic analogue",
      "unconditional construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 83,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.5327W"
    }
  }
}