{
  "id": "2303.09241",
  "version": "v1",
  "published": "2023-03-16T11:36:13.000Z",
  "updated": "2023-03-16T11:36:13.000Z",
  "title": "A Hodge-Type Filtration on Rigid Cohomology",
  "authors": [
    "Bruno Chiarellotto",
    "Yukihide Nakada"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a scheme X over a complete discrete valuation ring ${\\mathcal O}_K$ of mixed characteristic,Gros,in his study of syntomic cohomology in the smooth and proper case, introduced a filtration on the rigid cohomology of the special fiber $X_k$.Gros claimed that this construction was independent of the choice of immersions involved, citing an unpublished paper of Berthelot. However no proofs of this have appeared: here we prove it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-16T11:36:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rigid cohomology",
      "hodge-type filtration",
      "special fiber",
      "syntomic cohomology",
      "proper case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}