Metraipolis › archive › dc_6559bea346bb

Line spreads of W(2n-1, q), q even — arXiv:2610.23664

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.23664
License (as archived): CC0-1.0
Archived: 2026-10-19T09:39:27.550Z
SHA-256 of the archived text: b95f4f2f7c66fb93e7c2b4e3030c8e4151c4c3601bf5dbf6b0998217ef2acd46
Stable URL of this page: https://metraipolis.com/documento/dc_6559bea346bb

How to cite

Line spreads of W(2n-1, q), q even — arXiv:2610.23664 — arXiv (en), https://arxiv.org/abs/2610.23664 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_6559bea346bb (Metraipolis archive dc_6559bea346bb, sha256 b95f4f2f7c66fb93e7c2b4e3030c8e4151c4c3601bf5dbf6b0998217ef2acd46)

BibTeX

@misc{dc6559bea346bb,
  title = {Line spreads of W(2n-1, q), q even — arXiv:2610.23664},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.23664},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_6559bea346bb; sha256 b95f4f2f7c66fb93e7c2b4e3030c8e4151c4c3601bf5dbf6b0998217ef2acd46},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.23664. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.CO, nuovi lavori del giorno).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2610.23664 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-19T09:34:59.752Z dalla pagina https://arxiv.org/list/math.CO/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).