Year: 2026
Type: preprint
Abstract: We initiate a study of the algebraic matroid associated to the ideal generated by the $(r+1)$-minors of a Hankel matrix of variables. We prove that this matroid is uniform, that is, a coordinate projection from the corresponding Hankel determinantal variety is generically finite if and only if it preserves at least $2r$ anti-diagonals. For such projections, we establish bounds on the degree. These results are of significance to the problem of Hankel low-rank matrix completion.
Source: arXiv (Cornell University)
Authors: Reed, Ethan, Tsakiris, Manolis C.
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223140585