{
  "id": "1603.06425",
  "version": "v1",
  "published": "2016-03-21T13:28:08.000Z",
  "updated": "2016-03-21T13:28:08.000Z",
  "title": "Reduced norms and the Riemann-Roch theorem for Abelian varieties",
  "authors": [
    "Nathan Grieve"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We explain how the Riemann-Roch theorem for divisors on an abelian variety $A$ is related to the reduced norms of the Wedderburn components of $\\End^0(A)$ the $\\QQ$-endomorphism algebra of $A$. We then describe some consequences and examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-21T13:28:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian variety",
      "riemann-roch theorem",
      "reduced norms",
      "endomorphism algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160306425G"
    }
  }
}