{
  "abstract": "We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. Under mild assumptions, we prove that the derived Hecke action is non-vanishing modulo $p$ in every degree. Moreover, the total cohomology ring with $\\mathbb F_p$-coefficients is a free graded module of rank one over the derived Hecke algebra, generated in degree zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21278",
  "author_total": 1,
  "authors": [
    {
      "name": "Jaesung Kwon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/71v9jtgtfqhm6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21278",
  "fulltext_url": null,
  "id": "71v9jtgtfqhm6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21278",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7222541162",
  "pdf_url": "https://arxiv.org/pdf/2610.21278",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/71v9jtgtfqhm6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21278",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21278"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Non-vanishing mod $p$ of derived Hecke algebras of multiplicative groups over number fields, II",
  "title_text": "Non-vanishing mod p of derived Hecke algebras of multiplicative groups over number fields, II",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/71v9jtgtfqhm6",
  "venue": "arXiv",
  "versions": []
}