A Hilton-Milner theorem for exterior algebras

Abstract

Recent work of Scott and Wilmer and of Woodroofe extends the Erdős-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.

15 pages. v2 adds references and brief description in direct algebraic geometry language. v3 has minor changes for publication