{
  "abstract": "We give a formula for the spectral pairs of Newton non-degenerate polynomials with isolated singularities. This is a revised version of a conjecture proposed by Steenbrink fifty years ago. Although this conjecture fails in the non-simplicial Newton polytope case, we can find the correction term using the intersection complexes and the primitive intersection cohomologies of toric varieties associated with non-simplicial compact faces. To verify the correctness of the formula, we provide a sample code for Singular which computes the spectral pairs and compares the output with that of sppairs in Singular for the three variable case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03464",
  "author_total": 4,
  "authors": [
    {
      "name": "Seung-Jo Jung"
    },
    {
      "name": "In-Kyun Kim"
    },
    {
      "name": "Morihiko Saito"
    },
    {
      "name": "Youngho Yoon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6v9q0x0sxfn4p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03464",
  "fulltext_url": null,
  "id": "6v9q0x0sxfn4p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03464",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03464",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6v9q0x0sxfn4p.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03464",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03464"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Spectral pairs of Newton non-degenerate polynomials with isolated singularities",
  "title_text": "Spectral pairs of Newton non-degenerate polynomials with isolated singularities",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/6v9q0x0sxfn4p",
  "venue": "arXiv",
  "versions": []
}