{
  "id": "1808.01037",
  "version": "v1",
  "published": "2018-08-02T22:12:41.000Z",
  "updated": "2018-08-02T22:12:41.000Z",
  "title": "Stokes shells and Fourier transforms",
  "authors": [
    "Takuro Mochizuki"
  ],
  "categories": [
    "math.AG",
    "math.CA",
    "math.CV"
  ],
  "abstract": "We introduce the notion of Stokes shells describing the irregular singularity of meromorphic flat bundles on a punctured disc. We apply it to the study of the Fourier transform of holonomic D-modules on a complex projective line. Namely, we explicitly describe the Stokes structure at infinity of the Fourier transform of such D-modules as a successive extensions of Stokes shells.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-02T22:12:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F10",
      "34M40",
      "32C38"
    ],
    "keywords": [
      "stokes shells",
      "fourier transform",
      "meromorphic flat bundles",
      "irregular singularity",
      "holonomic d-modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}