A Hilton-Milner theorem for exterior algebras
Combinatorics
2026-03-03 v3 Algebraic Geometry
Abstract
Recent work of Scott and Wilmer and of Woodroofe extends the Erd\H{o}s-Ko-Rado theorem from set systems to subspaces of k-forms in an exterior algebra. We prove an extension of the Hilton-Milner theorem to the exterior algebra setting, answering in a strong way a question asked by these authors.
Cite
@article{arxiv.2406.17857,
title = {A Hilton-Milner theorem for exterior algebras},
author = {Denys Bulavka and Francesca Gandini and Russ Woodroofe},
journal= {arXiv preprint arXiv:2406.17857},
year = {2026}
}
Comments
15 pages. v2 adds references and brief description in direct algebraic geometry language. v3 has minor changes for publication