{
  "id": "2401.00968",
  "version": "v1",
  "published": "2024-01-01T22:45:04.000Z",
  "updated": "2024-01-01T22:45:04.000Z",
  "title": "Kodaira-Saito vanishing for the irregular Hodge filtration",
  "authors": [
    "Claude Sabbah"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "After making correct, and then improving, our definition of the category of irregular mixed Hodge modules thanks to Mochizuki's recent results arXiv:2108.03843, we show how these results allow us to obtain Kodaira-Saito-type vanishing theorems for the irregular Hodge filtration of irregular mixed Hodge modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-01T22:45:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irregular hodge filtration",
      "kodaira-saito vanishing",
      "irregular mixed hodge modules thanks",
      "kodaira-saito-type vanishing theorems",
      "definition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}