{
  "abstract": "We prove that $B_kA_6$ is stably rational over every field $k$ in which $2$ and $-3$ are nonzero squares. Combining this with a theorem of Plans, we deduce that $B_kA_7$ is stably rational over every field $k$ of characteristic zero in which $2$ and $-3$ are squares.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15163",
  "author_total": 1,
  "authors": [
    {
      "name": "Federico Scavia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ev99f2dpn8a00.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15163",
  "fulltext_url": null,
  "id": "ev99f2dpn8a00",
  "issns": [],
  "landing_url": "https://hal.science/hal-05765942v1",
  "language": "en",
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-ag"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7213250727",
  "pdf_url": "https://arxiv.org/pdf/2609.15163",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ev99f2dpn8a00.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "hal-05765942",
      "source": "hal",
      "url": "https://hal.science/hal-05765942v1"
    },
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2609.15163",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15163"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Noether's problem for $A_6$ and $A_7$",
  "title_text": "Noether's problem for A_6 and A_7",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/ev99f2dpn8a00",
  "venue": "HAL",
  "versions": []
}