{
  "abstract": "Let $L$ be a number field containing a CM field $K$. We compute an explicit current representing the $\\mathrm{GL}_{\\mathcal{O}_K}(\\mathcal{O}_L)$-equivariant algebraic Eisenstein-Kronecker classes constructed by Kings-Sprang. In the Bianchi case, where $K$ is imaginary quadratic and $[L:K]=2$, this yields a purely algebraic construction of Eisenstein cohomology classes, even though the associated locally symmetric space is not an algebraic variety. We express their constant terms at the cusp in terms of partial Hecke $L$-values of $K$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08375",
  "author_total": 1,
  "authors": [
    {
      "name": "Zhenghang Du"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d77a9cpkkdtzn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08375",
  "fulltext_url": null,
  "id": "d77a9cpkkdtzn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08375",
  "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",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7220906034",
  "pdf_url": "https://arxiv.org/pdf/2610.08375",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d77a9cpkkdtzn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08375",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08375"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Algebraic Eisenstein classes for $\\mathrm{GL}_n$ with applications to the Bianchi case",
  "title_text": "Algebraic Eisenstein classes for GL_n with applications to the Bianchi case",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/d77a9cpkkdtzn",
  "venue": "arXiv",
  "versions": []
}