{
  "id": "math/9901011",
  "version": "v2",
  "published": "1999-01-05T13:13:38.000Z",
  "updated": "2001-10-12T14:32:57.000Z",
  "title": "Two components of the boundary of the compactification of the variety of instantons",
  "authors": [
    "Nicolas Perrin"
  ],
  "comment": "In french. This is a completely revisited version with many improvements in the proofs",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study two components of the boundary of the compactification of the variety I_3 of instantons of degree three. We use the desciption of I_3 as symetric (involutive) cubo-cubic transforms deduced from the Beilinson monade. It involves some geometry of curves and surfaces in P^3. This allows us to distinguish two irreducible components which are in the closure of involutive cubo-cubic transforms. It gives us two irreducible components of the boundary of I_3. Moreover, we show that the cubo-cubic transforms of one of these components are the inverse of the other one.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-10-12T14:32:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compactification",
      "instantons",
      "irreducible components",
      "beilinson monade",
      "involutive cubo-cubic transforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "fr",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......1011P"
    }
  }
}