{
  "abstract": "Generalizing both [LZ14] and [ScV26, SaV24] we prove the interpolation property at Artin characters of Kupferer's regulator map [Ku20] over a fixed local field $L$ over $\\mathbb{Q}_p$ for $p$ any prime. Since our methods cover the case $p=2,$ we in particular close a gap in the literature even for the (cyclotomic) 2-variable regulator map from [LZ14]. Moreover, we study big (dual) Bloch-Kato exponential maps for unramified towers and we use them to improve Colmez' reciprocity law in the Lubin-Tate setting from [SaV24]. Finally, we compare Kupferer's regulator map with the 2-variable regulator map of Loeffler-Zerbes when $L=\\mathbb{Q}_p$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36600",
  "author_total": 2,
  "authors": [
    {
      "name": "Takamichi Sano"
    },
    {
      "name": "Otmar Venjakob"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9ydm85zyhzvc2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36600",
  "fulltext_url": null,
  "id": "9ydm85zyhzvc2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36600",
  "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": "W7224086319",
  "pdf_url": "https://arxiv.org/pdf/2610.36600",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9ydm85zyhzvc2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36600",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36600"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the interpolation property of Kupferer's Lubin-Tate regulator maps",
  "title_text": "On the interpolation property of Kupferer's Lubin-Tate regulator maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/9ydm85zyhzvc2",
  "venue": "arXiv",
  "versions": []
}