{
  "id": "2002.09915",
  "version": "v1",
  "published": "2020-02-23T14:56:13.000Z",
  "updated": "2020-02-23T14:56:13.000Z",
  "title": "On tangential weak defectiveness and identifiability of projective varieties",
  "authors": [
    "Ageu Barbosa Freire",
    "Alex Casarotti",
    "Alex Massarenti"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "A point $p\\in\\mathbb{P}^N$ of a projective space is $h$-identifiable, with respect to a variety $X\\subset\\mathbb{P}^N$, if it can be written as linear combination of $h$ elements of $X$ in a unique way. Identifiability is implied by conditions on the contact locus in $X$ of general linear spaces called non weak defectiveness and non tangential weak defectiveness. We give conditions ensuring non tangential weak defectiveness of an irreducible and non-degenerated projective variety $X\\subset\\mathbb{P}^N$, and we apply these results to Segre-Veronese and flag varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-23T14:56:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N07",
      "14N05",
      "14N15",
      "14M15",
      "15A69",
      "15A75"
    ],
    "keywords": [
      "projective variety",
      "identifiability",
      "ensuring non tangential weak defectiveness",
      "conditions ensuring non tangential weak",
      "general linear spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}