Root Bounds for Chain Polynomials Beyond the Cohen–Macaulay World
Published in Preprint, submitted to the Electronic Journal of Combinatorics, 2026
All real roots of the chain polynomial of every finite graded poset lie in [−4, 0]. The proof replaces shellability and h-vectors with a sign condition on a matrix inverse.
Recommended citation: P. Dugan. "Root bounds for chain polynomials beyond the Cohen–Macaulay world." Preprint, 2026.
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