{
  "id": "2102.03421",
  "version": "v1",
  "published": "2021-02-05T21:10:02.000Z",
  "updated": "2021-02-05T21:10:02.000Z",
  "title": "Arithmetic local constants for abelian varieties with extra endomorphisms",
  "authors": [
    "Sunil Chetty"
  ],
  "journal": "Funct. Approx. Comment. Math., Volume 55, Number 1 (2016), 59-81",
  "doi": "10.7169/facm/2016.55.1.5",
  "categories": [
    "math.NT"
  ],
  "abstract": "This work generalizes the theory of arithmetic local constants, introduced by Mazur and Rubin, to better address abelian varieties with a larger endomorphism ring than $\\mathbb{Z}$. We then study the growth of the $p^\\infty$-Selmer rank of our abelian variety, and we address the problem of extending the results of Mazur and Rubin to dihedral towers $k\\subset K\\subset F$ in which $[F:K]$ is not a $p$-power extension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-05T21:10:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G05",
      "11G10",
      "11G07",
      "11G15"
    ],
    "keywords": [
      "arithmetic local constants",
      "abelian variety",
      "extra endomorphisms",
      "better address abelian varieties",
      "power extension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}