{
  "id": "1703.01762",
  "version": "v1",
  "published": "2017-03-06T08:40:43.000Z",
  "updated": "2017-03-06T08:40:43.000Z",
  "title": "Cohen-Macaulay modules over surface quasi-invariants and Calogero-Moser systems",
  "authors": [
    "Igor Burban",
    "Alexander Zheglov"
  ],
  "comment": "47 pages",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "In this paper, we study algebras of surface quasi-invariants and prove that they are Cohen-Macaulay and Gorenstein in codimension one. Using the technique of matrix problems, we classify all Cohen-Macaulay modules of rank one over these algebras and determine their Picard groups. In terms of this classification, we describe the spectral module of a rational Calogero-Moser system of dihedral type. Finally, we elaborate the theory of the algebraic inverse scattering method, computing an explicit example of a deformed Calogero-Moser system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-06T08:40:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohen-macaulay modules",
      "surface quasi-invariants",
      "rational calogero-moser system",
      "algebraic inverse scattering method",
      "dihedral type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}