{
  "id": "0807.2044",
  "version": "v1",
  "published": "2008-07-13T17:15:41.000Z",
  "updated": "2008-07-13T17:15:41.000Z",
  "title": "Towards the generalized Shapiro and Shapiro conjecture",
  "authors": [
    "Alex Degtyarev"
  ],
  "journal": "Perspectives in analysis, geometry, and topology, Progr. Math., 296, Birkh\\\"auser/Springer, New York, 2012, pp.~67--79",
  "categories": [
    "math.AG"
  ],
  "abstract": "We find a new, asymptotically better, bound $g\\le\\frac14d^2+O(d)$ on the genus of a curve that may violate the generalized total reality conjecture. The bound covers all known cases except $g=0$ (the original conjecture).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-13T17:15:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14P25",
      "14P05"
    ],
    "keywords": [
      "shapiro conjecture",
      "generalized shapiro",
      "generalized total reality conjecture",
      "original conjecture",
      "bound covers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2044D"
    }
  }
}