{
  "id": "1504.06671",
  "version": "v1",
  "published": "2015-04-24T23:53:57.000Z",
  "updated": "2015-04-24T23:53:57.000Z",
  "title": "Enumerating Extensions of $(π)$-Adic Fields with Given Invariants",
  "authors": [
    "Sebastian Pauli",
    "Brian Sinclair"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give an algorithm that constructs a minimal set of polynomials defining all extension of a $(\\pi)$-adic field with given, inertia degree, ramification index, discriminant, ramification polygon, and residual polynomials of the segments of the ramification polygon.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-24T23:53:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S15",
      "11Y40",
      "11S31"
    ],
    "keywords": [
      "adic field",
      "enumerating extensions",
      "invariants",
      "ramification polygon",
      "ramification index"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150406671P"
    }
  }
}