{
  "id": "math/0507564",
  "version": "v1",
  "published": "2005-07-27T18:10:41.000Z",
  "updated": "2005-07-27T18:10:41.000Z",
  "title": "Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line",
  "authors": [
    "Scott Baldridge",
    "Paul Kirk"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we construct a family of symplectic 4--manifolds with positive signature for any given fundamental group $G$ that approaches the BMY line. The family is used to show that one cannot hope to do better than than the BMY inequality in finding a lower bound for the function $f=\\chi+b\\sigma$ on the class of all minimal symplectic 4-manifolds with a given fundamental group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-27T18:10:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D05",
      "57R17",
      "57M05"
    ],
    "keywords": [
      "arbitrary fundamental group",
      "bogomolov-miyaoka-yau line",
      "lower bound",
      "bmy inequality",
      "bmy line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7564B"
    }
  }
}