{
  "id": "1709.09910",
  "version": "v1",
  "published": "2017-09-28T12:14:02.000Z",
  "updated": "2017-09-28T12:14:02.000Z",
  "title": "On the Mori theory of Bott-Samelson varieties",
  "authors": [
    "Georg Merz",
    "David Schmitz",
    "Henrik Seppänen"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that on a Bott-Samelson variety X every movable divisor is nef. This enables us to consider Zariski decompositions of effective divisors, which in turn yield a description of the Mori chamber decomposition of the effective cone. This amounts to information on all possible birational morphisms from X. We illustrate our findings by two concrete examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-28T12:14:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14L30"
    ],
    "keywords": [
      "bott-samelson variety",
      "mori theory",
      "mori chamber decomposition",
      "birational morphisms",
      "zariski decompositions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}