{
  "abstract": "Let F/Q be an imaginary quadratic extension, let χ_{F/Q} be the associated quadratic character, let p be split in F, and let G be a definite unitary group of odd rank n. We construct a p-adic twisted adjoint L-function attached to an ordinary Hida family on G, interpolating the non-critical values L^imp(Π_P, Ad ⊗ χ_{F/Q}, 1) at its regular arithmetic specializations P. The construction proceeds through conjugate self-dual stable base change to GL_n(A_F) and realizes the twisted adjoint value as a residue of an Asai L-function via the Flicker–Rallis period. At p, we obtain the Coates–Perrin-Riou modifying factor by translating the ordinary test vector. We interpolate the resulting periods using distribution-valued ordinary cohomology. Under suitable Calegari–Geraghty hypotheses, the specialization defect is identified with the Fitting ideal of a congruence module. Finally, we construct stable base change on localized universal ordinary Hecke algebras and obtain the desired p-adic L-function on the Hida family on the unitary group.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Zheng Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9zrsdy21q2nn3.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "9zrsdy21q2nn3",
  "issns": [],
  "landing_url": "https://hal.science/hal-05775268v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-nt"
    ],
    [
      "hal",
      "1.math.math-rt"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05775268/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9zrsdy21q2nn3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "hal-05775268",
      "source": "hal",
      "url": "https://hal.science/hal-05775268v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-nt",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Non-critical p-adic twisted adjoint L-function for ordinary families on definite unitary groups",
  "title_text": "Non-critical p-adic twisted adjoint L-function for ordinary families on definite unitary groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/9zrsdy21q2nn3",
  "venue": "HAL",
  "versions": []
}