{
  "id": "math/9909073",
  "version": "v1",
  "published": "1999-09-14T14:20:59.000Z",
  "updated": "1999-09-14T14:20:59.000Z",
  "title": "Lower bounds of the slope of fibred threefolds",
  "authors": [
    "Miguel A. Barja"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study from a geographical point of view fibrations of threefolds over smooth curves, such that the general fibre is of general type. We prove the non-negativity of certain relative invariants under general hypotheses and give lower bounds for the self-interssection of the relative canonical divisor of the fibration, depending on other relative invariants. We also study the influence of the relative irregularity on these bounds. A more detailed study of the lowest cases of the bounds is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-09-14T14:20:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bounds",
      "fibred threefolds",
      "relative invariants",
      "smooth curves",
      "general type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......9073B"
    }
  }
}