{
  "id": "1910.11589",
  "version": "v1",
  "published": "2019-10-25T09:18:44.000Z",
  "updated": "2019-10-25T09:18:44.000Z",
  "title": "Parametrizing torsion pairs in derived categories",
  "authors": [
    "Lidia Angeleri Hügel",
    "Michal Hrbek"
  ],
  "comment": "37 pages",
  "categories": [
    "math.RT",
    "math.AC"
  ],
  "abstract": "We investigate parametrizations of compactly generated t-structures, or more generally, t-structures with a definable coaisle, in the unbounded derived category D(Mod-A) of a ring A. To this end, we provide a construction of t-structures from chains in the lattice of ring epimorphisms starting in A, which is a natural extension of the construction of compactly generated t-structures from chains of subsets of the Zariski spectrum known for the commutative noetherian case. We also provide constructions of silting and cosilting objects in D(Mod-A). This leads us to classification results over some classes of commutative rings and over finite dimensional hereditary algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-25T09:18:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "18E40",
      "16S85",
      "16E60",
      "16G20",
      "13C05"
    ],
    "keywords": [
      "parametrizing torsion pairs",
      "derived category",
      "compactly generated t-structures",
      "finite dimensional hereditary algebras",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}