{
  "id": "2002.03341",
  "version": "v1",
  "published": "2020-02-09T10:28:25.000Z",
  "updated": "2020-02-09T10:28:25.000Z",
  "title": "A semi-small decomposition of the Chow ring of a matroid",
  "authors": [
    "Tom Braden",
    "June Huh",
    "Jacob P. Matherne",
    "Nicholas Proudfoot",
    "Botong Wang"
  ],
  "comment": "40 pages",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We give a semi-small orthogonal decomposition of the Chow ring of a matroid M. The decomposition is used to give simple proofs of Poincar\\'e duality, the hard Lefschetz theorem, and the Hodge-Riemann relations for the Chow ring, recovering the main result of [AHK18]. We also show that a similar semi-small orthogonal decomposition holds for the augmented Chow ring of M.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-09T10:28:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chow ring",
      "semi-small decomposition",
      "similar semi-small orthogonal decomposition holds",
      "hard lefschetz theorem",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}