{
  "annotation_id": "764ccfc1-8bb9-4199-a04d-419a1790bb70",
  "date_created": "2026-02-17T05:53:23.624000Z",
  "date_modified": "2026-02-17T05:53:23.624000Z",
  "file_hash": "1526c190fa37edb537149e64b8cfdc3a95a5c5204057e82d2e4f472ca956f9b7",
  "private": false,
  "record": {
    "abstract": "We study functorial polymultiplicative maps from the multiplicative group of the algebra of $n$-times iterated Laurent series over a commutative ring in $n+1$ variables into the multiplicative group of the ring. It is proven that if such a map is invariant under continuous automorphisms of this algebra, then it coincides, up to a sign, with an integer power of the $n$-dimensional Contou-Carr\\`ere symbol.",
    "arxiv_id": "2601.10335",
    "authors": [
      "Levashev Vladislav"
    ],
    "categories": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Polymultiplicative maps associated with the algebra of Iterated Laurent series and the higher-dimensional Contou-Carrere Symbol",
    "url": "https://arxiv.org/abs/2601.10335",
    "version": "v2"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "154491ef-696a-4d36-a9f1-03378692b472",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}