{
  "id": "1703.04475",
  "version": "v1",
  "published": "2017-03-13T16:38:57.000Z",
  "updated": "2017-03-13T16:38:57.000Z",
  "title": "Existence of nontrivial logarithmic co-Higgs structure on curves",
  "authors": [
    "Edoardo Ballico",
    "Sukmoon Huh"
  ],
  "comment": "22 pages; Comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study various aspects on nontrivial logarithmic co-Higgs structure associated to unstable bundles on algebraic curves. We check several criteria for (non-)existence of nontrivial logarithmic co-Higgs structures and describe their parameter spaces. We also investigate the Segre invariants of these structures and see their non-simplicity. In the end we also study the higher dimensional case, specially when the tangent bundle is not semistable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-13T16:38:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "14D20",
      "14J60",
      "53D18"
    ],
    "keywords": [
      "nontrivial logarithmic co-higgs structure",
      "higher dimensional case",
      "tangent bundle",
      "algebraic curves",
      "segre invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}