{
  "id": "1711.07218",
  "version": "v1",
  "published": "2017-11-20T09:30:51.000Z",
  "updated": "2017-11-20T09:30:51.000Z",
  "title": "Lefschetz and Lower Bound theorems for Minkowski sums",
  "authors": [
    "Karim Adiprasito"
  ],
  "comment": "4 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "This note provides a Lefschetz theorem for Minkowski sums of polytopes. We conclude lower bound theorems for Minkowski sums of polytopes by studying the intersection cohomology of the toric variety generated by the Cayley polytope.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-20T09:30:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B05",
      "13F55",
      "13H10",
      "05E45"
    ],
    "keywords": [
      "minkowski sums",
      "conclude lower bound theorems",
      "intersection cohomology",
      "lefschetz theorem",
      "toric variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}