{
  "id": "1607.03157",
  "version": "v1",
  "published": "2016-07-11T20:37:03.000Z",
  "updated": "2016-07-11T20:37:03.000Z",
  "title": "Characteristic cycle of the exterior product of constructible sheaves",
  "authors": [
    "Takeshi Saito"
  ],
  "comment": "9 pages. This article is a new version of the second part of \"Notes on the characteristic cycle of a constructible sheaf\" arXiv:1603.07865 which has been withdrawn",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that the characteristic cycle of the exterior product of constructible complexes is the exterior product of the characteristic cycles of factors. This implies the compatibility of characteristic cycles with smooth pull-back which is a first step in the proof of the index formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-11T20:37:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F20"
    ],
    "keywords": [
      "characteristic cycle",
      "exterior product",
      "constructible sheaves",
      "smooth pull-back",
      "first step"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}