{
  "id": "2006.12869",
  "version": "v1",
  "published": "2020-06-23T10:04:26.000Z",
  "updated": "2020-06-23T10:04:26.000Z",
  "title": "Minimally critical endomorphisms of P^N",
  "authors": [
    "Patrick Ingram"
  ],
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We study the dynamics of the map endomorphism of N-dimensional projective space defined by f(X)=AX^d, where A is a matrix and d is at least 2. When d>N^2+N+1, we show that the critical height of such a morphism is comparable to its height in moduli space, confirming a case of a natural generalization of a conjecture of Silverman.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-23T10:04:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimally critical endomorphisms",
      "moduli space",
      "map endomorphism",
      "natural generalization",
      "n-dimensional projective space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}