{
  "id": "1612.07803",
  "version": "v1",
  "published": "2016-12-22T17:23:16.000Z",
  "updated": "2016-12-22T17:23:16.000Z",
  "title": "Bounding the homology of FI-modules",
  "authors": [
    "Thomas Church"
  ],
  "comment": "1 page",
  "categories": [
    "math.RT",
    "math.AT",
    "math.CO"
  ],
  "abstract": "The main theorem of Church-Ellenberg [arXiv:1506.01022] is a sharp bound on the homology of FI-modules, showing that the Castelnuovo-Mumford regularity of FI-modules over Z can be bounded in terms of generators and relations. We give a new proof of this theorem, inspired by earlier proofs by Li-Yu and Li. This should be read after Section 2 of Church-Ellenberg, which contains all needed terminology and background.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-22T17:23:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fi-modules",
      "main theorem",
      "church-ellenberg",
      "sharp bound",
      "castelnuovo-mumford regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 1,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}