{
  "abstract": "If $X$ is a K3 surface with complex multiplication by a CM field $E$, Kazuhiro Ito proved that the height of the reduction of $X$ in characteristic $p>0$, and its Artin invariant if it is supersingular, can be computed from the decomposition of $p$ in $E$. We present analogous results for cubic fourfolds by using the main theorem of complex multiplication for cubic fourfold, proved by Rikuto Ito.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38498",
  "author_total": 1,
  "authors": [
    {
      "name": "Temma Yamagishi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5sjgz93jf04zt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38498",
  "fulltext_url": null,
  "id": "5sjgz93jf04zt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38498",
  "language": null,
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38498",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5sjgz93jf04zt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38498",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38498"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the Supersingular reduction of Cubic fourfolds with Complex Multiplication",
  "title_text": "On the Supersingular reduction of Cubic fourfolds with Complex Multiplication",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/5sjgz93jf04zt",
  "venue": "arXiv",
  "versions": []
}