{
  "abstract": "Let q be an even prime power and n \\ge 2. We construct line spreads of the symplectic polar space W(2n-1,q) by replacing pairwise disjoint reguli in a Desarguesian line spread. The construction is based on partitions of the points of PG(n-1,q^2) into points of a nondegenerate Hermitian variety and Baer sublines meeting that variety in exactly one point. In the plane case, the partition is invariant under a cyclic group of order q^2-q+ 1.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23664",
  "author_total": 4,
  "authors": [
    {
      "name": "Daniele Bartoli"
    },
    {
      "name": "Antonio Cossidente"
    },
    {
      "name": "Giuseppe Marino"
    },
    {
      "name": "Francesco Pavese"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bavga0dyw561s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23664",
  "fulltext_url": null,
  "id": "bavga0dyw561s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23664",
  "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.CO"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7222943644",
  "pdf_url": "https://arxiv.org/pdf/2610.23664",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bavga0dyw561s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23664",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23664"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Line spreads of W(2n-1, q), q even",
  "title_text": "Line spreads of W(2n-1, q), q even",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/bavga0dyw561s",
  "venue": "arXiv",
  "versions": []
}