{
  "abstract": "We consider the comparison between a Milnor fibre of a function $f$ and its section by the zero locus of a second function $s$ in a general ambient variety $\\mathcal{X}$. We give a formula that generalizes those of Lê and Siersma, expressing the difference of their Euler characteristics as a sum of local contributions associated with the critical points of the restriction of $s$. We provide an algebraic formula in the case that $\\mathcal{X}$ is {smooth of pure dimension outside $f^{-1}(0)$}, and show some applications and examples.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06340",
  "author_total": 2,
  "authors": [
    {
      "name": "R. Giménez Conejero"
    },
    {
      "name": "J. J. Nuño-Ballesteros"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/008r6etk6h3h0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06340",
  "fulltext_url": null,
  "id": "008r6etk6h3h0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06340",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.GT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06340",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/008r6etk6h3h0.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06340",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06340"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A general Lê--Siersma formula",
  "title_text": "A general Lê--Siersma formula",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/008r6etk6h3h0",
  "venue": "arXiv",
  "versions": []
}