{
  "id": "1512.06921",
  "version": "v1",
  "published": "2015-12-22T00:43:01.000Z",
  "updated": "2015-12-22T00:43:01.000Z",
  "title": "Hermitian u-invariants over function fields of p-adic curves",
  "authors": [
    "Zhengyao Wu"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $p$ be an odd prime. Let $F$ be the function field of a $p$-adic curve. Let $A$ be a central simple algebra of period 2 over $F$ with an involution $\\sigma$. There are known upper bounds for the $u$-invariant of hermitian forms over $(A, \\sigma)$. In this article we compute the exact values of the $u$-invariant of hermitian forms over $(A, \\sigma)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-22T00:43:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E39"
    ],
    "keywords": [
      "function field",
      "p-adic curves",
      "hermitian u-invariants",
      "hermitian forms",
      "central simple algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}