{
  "id": "math/0609658",
  "version": "v1",
  "published": "2006-09-22T23:11:19.000Z",
  "updated": "2006-09-22T23:11:19.000Z",
  "title": "A short guide to p-torsion of abelian varieties in characteristic p",
  "authors": [
    "Rachel Pries"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "There are many equivalent ways to describe the p-torsion of a principally polarized abelian variety in characteristic p. We briefly explain these methods and then illustrate them for abelian varieties A of arbitrary dimension g in several important cases, including when A has p-rank f and a-number 1 and when A has p-rank f and a-number g-f. We provide complete tables for abelian varieties of dimension up to four.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-22T23:11:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "14K10"
    ],
    "keywords": [
      "short guide",
      "characteristic",
      "principally polarized abelian variety",
      "arbitrary dimension",
      "important cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9658P"
    }
  }
}