{
  "id": "2001.05429",
  "version": "v1",
  "published": "2020-01-15T16:55:09.000Z",
  "updated": "2020-01-15T16:55:09.000Z",
  "title": "Local-global principles for curves over semi-global fields",
  "authors": [
    "David Harbater",
    "Daniel Krashen",
    "Alena Pirutka"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We investigate local-global principles for Galois cohomology, in the context of function fields of curves over semi-global fields. This extends work of Kato's on the case of function fields of curves over global fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-15T16:55:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E72",
      "14H25",
      "14L20",
      "12G05",
      "14G27",
      "20G15"
    ],
    "keywords": [
      "semi-global fields",
      "local-global principles",
      "function fields",
      "galois cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}