{
  "abstract": "We study diagonal cycles on moduli spaces of shtukas for groups of the form $H\\times H$, where $H$ is a split almost simple reductive group, allowing arbitrary modification types. We relate their self-intersection numbers, with insertions of determinant line bundles, to higher derivatives of adjoint $L$-functions. This gives a general Gross--Zagier-type identity over function fields for groups of arbitrary type, and suggests a parallel conjectural picture for arithmetic intersections on Shimura varieties.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.25237",
  "author_total": 1,
  "authors": [
    {
      "name": "Zeyu Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2gkf4s2t5yszp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.25237",
  "fulltext_url": null,
  "id": "2gkf4s2t5yszp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.25237",
  "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.AG"
    ],
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      "arxiv",
      "math.NT"
    ],
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      "arxiv",
      "math.RT"
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      "openalex",
      "2610|Advanced Algebra and Geometry"
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  "openalex": "W7171634383",
  "pdf_url": "https://arxiv.org/pdf/2607.25237",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2gkf4s2t5yszp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2607.25237",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.25237"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Diagonal cycles on Shtukas and the adjoint $L$-function",
  "title_text": "Diagonal cycles on Shtukas and the adjoint L-function",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/2gkf4s2t5yszp",
  "venue": "arXiv",
  "versions": []
}