{
  "abstract": "We compute the heights of small CM cycles on unitary Shimura varieties for general choices of the one-dimensional Hermitian subspace $W$ defining the embedding. The formula contains the logarithmic derivative of a quadratic Hecke $L$-function and explicit local terms depending on the choice of $W$. We prove this formula and an arithmetic Siegel--Weil identity by comparing the holomorphic projection of a mixed theta--Eisenstein derivative with arithmetic intersections of special divisors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25538",
  "author_total": 1,
  "authors": [
    {
      "name": "Ziqi Guo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/as92v01hj5aek.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25538",
  "fulltext_url": null,
  "id": "as92v01hj5aek",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25538",
  "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.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7223050719",
  "pdf_url": "https://arxiv.org/pdf/2610.25538",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/as92v01hj5aek.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25538",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25538"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Heights of small CM cycles on Unitary Shimura Varieties",
  "title_text": "Heights of small CM cycles on Unitary Shimura Varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/as92v01hj5aek",
  "venue": "arXiv",
  "versions": []
}