{
  "id": "1702.07142",
  "version": "v1",
  "published": "2017-02-23T09:14:37.000Z",
  "updated": "2017-02-23T09:14:37.000Z",
  "title": "On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic II",
  "authors": [
    "Damian Rössler"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $A$ be an abelian variety over the function field $K$ of a curve over a finite field. We provide several conditions ensuring that $A(K^{\\rm perf})$ is finitely generated. This gives partial answers to questions of Scanlon and Ziegler on the one hand and Esnault and Langer on the other. We also describe the basics of a theory (used to prove our results) relating the Harder-Narasimhan filtration of vector bundles and the structure of finite flat group schemes over projective curves over finite fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-23T09:14:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K05"
    ],
    "keywords": [
      "purely inseparable points",
      "abelian variety",
      "function field",
      "positive characteristic",
      "finite flat group schemes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}