{
  "id": "2206.00239",
  "version": "v1",
  "published": "2022-06-01T05:38:51.000Z",
  "updated": "2022-06-01T05:38:51.000Z",
  "title": "$τ$-tilting finiteness of two-point algebras II",
  "authors": [
    "Qi Wang"
  ],
  "comment": "25 pages, comments are welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we explain a strategy in silting theory to discover some new minimal $\\tau$-tilting infinite two-point algebras. Consequently, the $\\tau$-tilting finiteness of various two-point monomial algebras, including all radical cube zero cases, could be determined. In the process of proof, it is seen that the derived equivalence class of the Kronecker algebra contains only itself and its opposite algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-01T05:38:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tilting finiteness",
      "kronecker algebra contains",
      "two-point monomial algebras",
      "radical cube zero cases",
      "tilting infinite two-point algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}