{
  "abstract": "We define and study an integral refinement of the inverse of the Bloch-Kato exponential map which we call the de Rham logarithm. Our main tool to analyze the de Rham logarithm is the syntomic logarithm, a certain limit construction based on the theory of filtered prismatic cohomology initiated by Antieau, Krause and Nikolaus. We use the syntomic logarithm to prove a version of the Beilinson fibre square for all quasicompact, quasiseparated derived formal schemes. We also use our techniques to prove Conjecture C_EP (Q_p(n)) of Fontaine and Perrin-Riou for all local fields K/Q_p and to compute the correction factor C(X, n) introduced by Flach and Morin in their reformulation of the Bloch-Kato Tamagawa number conjecture for the Zeta function of a smooth projective scheme X over a number ring.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2603.21471",
  "author_total": 3,
  "authors": [
    {
      "name": "Matthias Flach"
    },
    {
      "name": "Achim Krause"
    },
    {
      "name": "Baptiste Morin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9amaf7g1wm0zb.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "9amaf7g1wm0zb",
  "issns": [],
  "landing_url": "https://hal.science/hal-05803702v1",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05803702/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9amaf7g1wm0zb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:58Z",
      "native_id": "hal-05803702",
      "source": "hal",
      "url": "https://hal.science/hal-05803702v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "THE DE RHAM AND THE SYNTOMIC LOGARITHM",
  "title_text": "THE DE RHAM AND THE SYNTOMIC LOGARITHM",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:58Z",
  "url": "https://research.draconitic.com/paper/9amaf7g1wm0zb",
  "venue": "HAL",
  "versions": []
}