{
  "abstract": "Logarithmic Fitting ideals encode the complexity of the corresponding morphisms in a natural and intrinsic way, and their principalisation offers a new perspective on problems such as the resolution of cotangent sheaves and the monomialisation of morphisms. In this paper, we give a local resolution theorem for log-rank adapted morphisms: after finite sequences of smooth local blow-ups, the first two log-Fitting ideals \\mathcal{F}_{n−1}(\\sigma) and \\mathcal{F}_{n−2}(\\sigma) become principal monomial ideals.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04723",
  "author_total": 1,
  "authors": [
    {
      "name": "Yueting Jiang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6y5v5rk95kq5y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04723",
  "fulltext_url": null,
  "id": "6y5v5rk95kq5y",
  "issns": [],
  "landing_url": "https://hal.science/hal-05849129v1",
  "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": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
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      "hal",
      "0.math"
    ],
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      "hal",
      "1.math.math-ag"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05849129/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6y5v5rk95kq5y.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:18Z",
      "native_id": "hal-05849129",
      "source": "hal",
      "url": "https://hal.science/hal-05849129v1"
    },
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04723",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04723"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Local resolution of the second log-Fitting ideal",
  "title_text": "Local resolution of the second log-Fitting ideal",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/6y5v5rk95kq5y",
  "venue": "HAL",
  "versions": []
}