{
  "id": "2004.10357",
  "version": "v1",
  "published": "2020-04-22T01:18:58.000Z",
  "updated": "2020-04-22T01:18:58.000Z",
  "title": "Local-Global Principle for Unitary Groups Over Function Fields of p-adic Curves",
  "authors": [
    "R. Parimala",
    "V. Suresh"
  ],
  "categories": [
    "math.NT",
    "math.AG",
    "math.RA"
  ],
  "abstract": "Let K be a p-adic field and F the function field of a curve over K. Let G be a connected linear algebraic group over F of classical type. Suppose the prime p is a good prime for G. Then we prove that projective homogeneous spaces under G over F satisfy a local global principle for rational points with respect to discrete valuations of F . If G is a semisimple simply connected group over F , then we also prove that principal homogeneous spaces under G over F satisfy a local global principle for rational points with respect to discrete valuations of F.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-22T01:18:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "function field",
      "local-global principle",
      "p-adic curves",
      "unitary groups",
      "local global principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}