{
  "id": "1906.02261",
  "version": "v1",
  "published": "2019-06-05T19:17:49.000Z",
  "updated": "2019-06-05T19:17:49.000Z",
  "title": "Rational points and derived equivalence",
  "authors": [
    "Nicolas Addington",
    "Benjamin Antieau",
    "Sarah Frei",
    "Katrina Honigs"
  ],
  "comment": "20 pages, magma code as ancillary files",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We give the first examples of derived equivalences between varieties defined over non-closed fields where one has a rational point and the other does not. We begin with torsors over Jacobians of curves over Q and F_q(t), and conclude with a pair of hyperkaehler 4-folds over Q. The latter is independently interesting as a new example of a transcendental Brauer-Manin obstruction to the Hasse principle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-05T19:17:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational point",
      "derived equivalence",
      "transcendental brauer-manin obstruction",
      "first examples",
      "hasse principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}