{
  "annotation_id": "1098abb8-26f5-45c1-8301-416eed00a208",
  "date_created": "2026-02-17T05:53:07.766000Z",
  "date_modified": "2026-02-17T05:53:07.766000Z",
  "file_hash": "3bf8b2b0a5fd0b3b9ed5b5308a66736e3aa5ab7a83aa7d9238c6f51cfd22782f",
  "private": false,
  "record": {
    "abstract": "The purpose of this thesis is to introduce two new kinds of hyperplane arrangements, inspired by the graphic arrangements and $q$-deformations of graphic arrangements. In this thesis, the author extends the definition of $q$-deformation to simplicial complexes, with the conjecture by Nian, Tsujie, Uchiumi and Yoshinaga. The author also investigates a special case called graphic monomial arrangement, including the characteristic polynomials and freeness with a further extension to fields with primitive roots.",
    "arxiv_id": "2601.06546",
    "authors": [
      "Tongyu Nian"
    ],
    "categories": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "A generalization of $q$-deformation of graphic arrangements to simplicial complexes",
    "url": "https://arxiv.org/abs/2601.06546",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b546fd29-7d0f-4ba0-962b-f2b5b29e5b47",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}