{
  "id": "1906.10723",
  "version": "v1",
  "published": "2019-06-25T18:51:21.000Z",
  "updated": "2019-06-25T18:51:21.000Z",
  "title": "Algebraic cycles on hyperplane sections of hypersurfaces in $\\mathbb P^n$ for $n=5,6$",
  "authors": [
    "Kalyan Banerjee"
  ],
  "comment": "9 pages, comments are welcome",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "Let $X$ be a cubic hypersurface in $\\mathbb P^6$ or a hypersurface of degree greater than equal to $7$ in $\\mathbb P^5$. In this note we try to understand, for a very general hyperplane section of $X$, the non-injectivity locus of the corresponding push-forward homomorphism at the level of Chow group of certain dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-25T18:51:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25"
    ],
    "keywords": [
      "algebraic cycles",
      "general hyperplane section",
      "degree greater",
      "chow group",
      "cubic hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}