{
  "id": "math/0210248",
  "version": "v2",
  "published": "2002-10-16T16:38:40.000Z",
  "updated": "2002-11-19T17:31:46.000Z",
  "title": "Invariants Associated to Orthogonal $ε$-constants",
  "authors": [
    "Darren Glass"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper we use the theory of $\\epsilon$-constants associated to tame finite group actions on arithmetic surfaces to define a Brauer group invariant $\\mu(\\X,G,V)$ associated to certain symplectic motives of weight one. We then discuss the relationship between this invariant and $w_2(\\pi)$, the Galois theoretic invariant associated to tame covers of surfaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-11-19T17:31:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariants",
      "tame finite group actions",
      "orthogonal",
      "brauer group invariant",
      "arithmetic surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10248G"
    }
  }
}