{
  "id": "1412.6818",
  "version": "v1",
  "published": "2014-12-21T18:19:27.000Z",
  "updated": "2014-12-21T18:19:27.000Z",
  "title": "On the exotic t-structure in positive characteristic",
  "authors": [
    "Carl Mautner",
    "Simon Riche"
  ],
  "comment": "34 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper we study Bezrukavnikov's exotic t-structure on the derived category of equivariant coherent sheaves on the Springer resolution of a connected reductive algebraic group defined over a field of positive characteristic with simply-connected derived subgroup. In particular, we show that the heart of the exotic t-structure is a graded highest weight category, and we study the tilting objects in this heart. Our main tool is the \"geometric braid group action\" studied by Bezrukavnikov and the second author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-21T18:19:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive characteristic",
      "reductive algebraic group",
      "geometric braid group action",
      "study bezrukavnikovs exotic t-structure",
      "graded highest weight category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6818M"
    }
  }
}