{
  "abstract": "The \"monodromy theorem\" for p-adic differential equations says that a \"Robba module of which exponent has non Liouville differences\" is \"regular\", namely has a basis in which the matrix of the derivation x d /dx is constant. In this paper the monodromy theorem is proved replacing the (p-adic) field of constants by a p-adic algebra of constants. In other words, instead of one single p-adic differential equation it looks at a family of p-adic differential equations parametrized by the maximal ideals of B. Both cases when B is an affinoïd algebra and when B is a dagger algebra are examined. The second one is much more tricky but more valuable for characteristic p algebraic geometry applications.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "G Christol"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7p3fcez013kqy.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "7p3fcez013kqy",
  "issns": [],
  "landing_url": "https://hal.science/hal-05657933v2",
  "language": "fr",
  "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-05657933/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7p3fcez013kqy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "hal-05657933",
      "source": "hal",
      "url": "https://hal.science/hal-05657933v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Théories relatives pour les équations différentielles p-adiques : Le cas des modules de Robba",
  "title_text": "Théories relatives pour les équations différentielles p-adiques : Le cas des modules de Robba",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/7p3fcez013kqy",
  "venue": "HAL",
  "versions": []
}