{
  "id": "math/0201114",
  "version": "v1",
  "published": "2002-01-14T15:57:29.000Z",
  "updated": "2002-01-14T15:57:29.000Z",
  "title": "Bounded decomposition in the Brieskorn lattice and Pfaffian Picard--Fuchs systems for Abelian integrals",
  "authors": [
    "S. Yakovenko"
  ],
  "comment": "17 pages in LaTeX2e",
  "journal": "Bull. Sci. Math\\'ematiques 126 (2002), issue 7, 535-554",
  "doi": "10.1016/S0007-4497(02)01126-0",
  "categories": [
    "math.DS",
    "math.AG"
  ],
  "abstract": "We suggest an algorithm for derivation of the Picard--Fuchs system of Pfaffian equations for Abelian integrals corresponding to semiquasihomogeneous Hamiltonians. It is based on an effective decomposition of polynomial forms in the Brieskorn lattice. The construction allows for an explicit upper bound on the norms of the polynomial coefficients, an important ingredient in studying zeros of these integrals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-14T15:57:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C08",
      "34M50",
      "32S20",
      "32S40"
    ],
    "keywords": [
      "pfaffian picard-fuchs systems",
      "brieskorn lattice",
      "abelian integrals",
      "bounded decomposition",
      "explicit upper bound"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......1114Y"
    }
  }
}