{
  "id": "1901.06633",
  "version": "v1",
  "published": "2019-01-20T07:31:10.000Z",
  "updated": "2019-01-20T07:31:10.000Z",
  "title": "Topological and Geometric filtration for products",
  "authors": [
    "Jin Cao",
    "Wenchuan Hu"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "We show that the Friedlander-Mazur conjecture holds for a sequence of products of projective varieties such as the product of a smooth projective curve and a smooth projective surface, the product of two smooth projective surfaces, the product of arbitrary number of smooth projective curves. Moreover, we show that the Friedlander-Mazur conjecture is stable under a surjective map. As applications, we show that the Friedlander-Mazur conjecture holds for the Jacobian variety of smooth projective curves, uniruled threefolds and unirational varieties up to certain range.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-20T07:31:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F43",
      "14C25",
      "19E99"
    ],
    "keywords": [
      "smooth projective curve",
      "geometric filtration",
      "friedlander-mazur conjecture holds",
      "smooth projective surface",
      "unirational varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}