{
  "id": "2212.11020",
  "version": "v1",
  "published": "2022-12-21T14:00:38.000Z",
  "updated": "2022-12-21T14:00:38.000Z",
  "title": "A combinatorial description of stability for toric vector bundles",
  "authors": [
    "Lucie Devey"
  ],
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "The aim of this paper is to give a necessary and sufficient condition for the stability of a toric vector bundle in the combinatorial terms of its parliament of polytopes, a generalization of Newton polytopes for toric vector bundles by Di Rocco, Jabbusch and Smith. We also define subparliaments of polytopes and identify them with parliaments of equivariant subbundles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-21T14:00:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "toric vector bundle",
      "combinatorial description",
      "combinatorial terms",
      "sufficient condition",
      "newton polytopes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}