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arXiv · 2610.27554

On Hankel Determinantal Matroids

Ethan Reed·Manolis C. Tsakiris
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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.

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Ethan Reed, Manolis C. Tsakiris. 2026-10-20. On Hankel Determinantal Matroids. https://arxiv.org/abs/2610.27554

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