{
  "id": "1210.1643",
  "version": "v1",
  "published": "2012-10-05T04:16:57.000Z",
  "updated": "2012-10-05T04:16:57.000Z",
  "title": "Rank one connections on abelian varieties, II",
  "authors": [
    "Indranil Biswas",
    "Jacques Hurtubise",
    "A. K. Raina"
  ],
  "comment": "International Journal of Mathematics (to appear)",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "Given a holomorphic line bundle $L$ on a compact complex torus $A$, there are two naturally associated holomorphic $\\Omega_A$--torsors over $A$: one is constructed from the Atiyah exact sequence for $L$, and the other is constructed using the line bundle $(p^*_1 L^*)\\otimes (\\alpha^*L)$, where $\\alpha$ is the addition map on $A\\times A$, and $p_1$ is the projection of $A\\times A$ to the first factor. In \\cite{BHR}, it was shown that these two torsors are isomorphic. The aim here is to produce a canonical isomorphism between them through an explicit construction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-05T04:16:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K20"
    ],
    "keywords": [
      "abelian varieties",
      "connections",
      "holomorphic line bundle",
      "compact complex torus",
      "atiyah exact sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.1643B"
    }
  }
}