{
  "id": "2105.14601",
  "version": "v1",
  "published": "2021-05-30T19:00:10.000Z",
  "updated": "2021-05-30T19:00:10.000Z",
  "title": "Spaces of non-resultant systems of bounded multiplicity determined by a toric variety",
  "authors": [
    "Andrzej Kozłowski",
    "Kohhei Yamaguchi"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1707.02603",
  "categories": [
    "math.AT"
  ],
  "abstract": "The space of non-resultant systems of bounded multiplicity for a toric variety X is a generalization of the space of rational curves on it. In our earlier work we proved a homotopy stability theorem and determined explicitly the homotopy type of this space for the case X = CP^m. In this paper we consider the case of a general non-singular toric variety and prove a homotopy stability theorem generalising the one for CP^m.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-30T19:00:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P15",
      "55R80",
      "55P35",
      "14M25"
    ],
    "keywords": [
      "non-resultant systems",
      "bounded multiplicity",
      "general non-singular toric variety",
      "earlier work",
      "homotopy type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}