{
  "id": "math/0112148",
  "version": "v2",
  "published": "2001-12-14T16:15:45.000Z",
  "updated": "2001-12-26T17:18:34.000Z",
  "title": "Quantization of canonical cones of algebraic curves",
  "authors": [
    "B. Enriquez",
    "A. Odesskii"
  ],
  "journal": "Ann. Inst. Fourier (Grenoble) 52 (2002), no. 6, 1629-1663",
  "categories": [
    "math.AG",
    "math.QA"
  ],
  "abstract": "We introduce a quantization of the graded algebra of functions on the canonical cone of an algebraic curve C, based on the theory of formal pseudodifferential operators. When C is a complex curve with Poincar\\'e uniformization, we propose another, equivalent construction, based on the work of Cohen-Manin-Zagier on Rankin-Cohen brackets. We give a presentation of the quantum algebra when C is a rational curve, and discuss the problem of constructing algebraically \"differential liftings\".",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-12-26T17:18:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic curve",
      "canonical cone",
      "quantization",
      "formal pseudodifferential operators",
      "differential liftings"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12148E"
    }
  }
}