{
  "abstract": "In this work, we develop a new theory of multivariate V-filtration on D-modules along a simple normal crossing divisor and relate it with Sabbah's multi-filtration. We establish several new structural results and relate them with the Hodge filtration on free-monodromic local systems from geometric representation theory. As applications, we prove the Strong Monodromy Conjecture and its multivariate generalisation for hyperplane arrangements. Along the way, we confirm both the n/d-conjecture of Budur--Mustaţă--Teitler and its multivariate form due to Budur.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.25314",
  "author_total": 2,
  "authors": [
    {
      "name": "Dougal Davis"
    },
    {
      "name": "Ruijie Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/81beg21ed9epk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.25314",
  "fulltext_url": null,
  "id": "81beg21ed9epk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.25314",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7162432050",
  "pdf_url": "https://arxiv.org/pdf/2605.25314",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/81beg21ed9epk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2605.25314",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.25314"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Multivariate V-filtrations and the Strong Monodromy Conjecture for hyperplane arrangements",
  "title_text": "Multivariate V-filtrations and the Strong Monodromy Conjecture for hyperplane arrangements",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/81beg21ed9epk",
  "venue": "arXiv",
  "versions": []
}