{
  "id": "0911.2814",
  "version": "v3",
  "published": "2009-11-15T20:04:04.000Z",
  "updated": "2009-11-24T14:03:04.000Z",
  "title": "A-infinity algebra of an elliptic curve and Eisenstein series",
  "authors": [
    "Alexander Polishchuk"
  ],
  "comment": "13 pages, 3 figures; v3: added remark on the limit at the cusp",
  "categories": [
    "math.AG"
  ],
  "abstract": "We compute explicitly the A-infinity structure on the Ext-algebra of the collection $({\\mathcal O}_C, L)$, where $L$ is a line bundle of degree 1 on an elliptic curve $C$. The answer involves higher derivatives of Eisenstein series.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-24T14:03:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eisenstein series",
      "elliptic curve",
      "a-infinity algebra",
      "a-infinity structure",
      "line bundle"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-010-1156-y",
      "journal": "Communications in Mathematical Physics",
      "year": 2011,
      "month": "Feb",
      "volume": 301,
      "number": 3,
      "pages": 709
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011CMaPh.301..709P"
    }
  }
}