{
  "id": "2005.09693",
  "version": "v1",
  "published": "2020-05-19T18:26:23.000Z",
  "updated": "2020-05-19T18:26:23.000Z",
  "title": "Singularities and vanishing cycles in number theory over function fields",
  "authors": [
    "Will Sawin"
  ],
  "comment": "33 pages",
  "categories": [
    "math.NT",
    "math.AG",
    "math.AT"
  ],
  "abstract": "This article is an overview of the vanishing cycles method in number theory over function fields. We first explain how this works in detail in a toy example, and then give three examples which are relevant to current research. The focus will be a general explanation of which sorts of problems this method can be applied to.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-19T18:26:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "number theory",
      "function fields",
      "singularities",
      "general explanation",
      "current research"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}