{
  "abstract": "We give an explicit strong deformation retraction of the complement of a Fermat hypersurface of degree $d$ in the complex projective space of dimension $n$ into a $Δ$-complex of real dimension~$n$. This retraction is performed in several steps, using the branched cover structure of the Fermat hypersurfaces to the degree $1$ case. Moreover, an implementation of the method in \\texttt{Sagemath} is provided.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.26768",
  "author_total": 3,
  "authors": [
    {
      "name": "E. Artal"
    },
    {
      "name": "A. Larraya Sancho"
    },
    {
      "name": "M. A. Marco Buzunariz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b3jx5dbk6exz8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.26768",
  "fulltext_url": null,
  "id": "b3jx5dbk6exz8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.26768",
  "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"
    ],
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7162542736",
  "pdf_url": "https://arxiv.org/pdf/2605.26768",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b3jx5dbk6exz8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2605.26768",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.26768"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Retraction of the complement of smooth projective hypersurfaces to an $n$-dimensional $Δ$-complex",
  "title_text": "Retraction of the complement of smooth projective hypersurfaces to an n-dimensional Δ-complex",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/b3jx5dbk6exz8",
  "venue": "arXiv",
  "versions": []
}