{
  "annotation_id": "99c7f900-fb6f-4aa7-9442-79c3663ca47a",
  "date_created": "2026-02-17T05:53:19.908000Z",
  "date_modified": "2026-02-17T05:53:19.908000Z",
  "file_hash": "17ce7ba51c68cff0e080989a3852f23ac2ab06a5e22cd7f5390477c97ce993b8",
  "private": false,
  "record": {
    "abstract": "Let $A$ be the algebra $\\mathbb{C}[X_1^{\\pm 1},X_2^{\\pm 1}]$ and $Q(A)$ its quotient field. In this short article, we exhibit the correct normalization for the toric period on the parabolically induced unramified family over $Q(A)$, so that it behaves optimally under restriction to the parabolically induced unramified family over $A$. This answers a question raised by D. Prasad, and points towards potential generalizations to a broader unramified Gan-Gross-Prasad setting.",
    "arxiv_id": "2601.09418",
    "authors": [
      "Alexandros Groutides"
    ],
    "categories": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "A note on toric periods in unramified families",
    "url": "https://arxiv.org/abs/2601.09418",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c5f53093-ca16-491a-8c74-6f5985a187df",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}