{
  "annotation_id": "6d0b5617-d456-495f-98d6-4cc823e538de",
  "date_created": "2026-02-17T05:53:04.191000Z",
  "date_modified": "2026-02-17T05:53:04.191000Z",
  "file_hash": "2f04213b3e0e19fe13436c6168e1e99289fa289b5614dd52562e137519623ba5",
  "private": false,
  "record": {
    "abstract": "We study the $\\mu _N$-gerbe of curves of genus $g$ with an order $N$ automorphism, and explore what corresponding $H^2$-cohomology classes the components of this stack can have. In particular, we look at curves whose quotients by the order $N$ automorphism are genus 0, and completely determine the Brauer classes of these gerbes. The key technical input is the calculation of the Brauer group of $BG$, for $G$ a smooth connected semisimple linear algebraic group.",
    "arxiv_id": "2601.05370",
    "authors": [
      "Rose Lopez"
    ],
    "categories": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "The Brauer group of $BG$ and gerbe structures of moduli spaces",
    "url": "https://arxiv.org/abs/2601.05370",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "23d8d707-439a-41f9-895c-308dd8799f4c",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}