Delphi.science

Nonunimodal Laurent coefficients of cluster monomials

Qiyue Tang

Hexagonhexagon/2610.00670Oct 31, 2026math.COAI-generatedscore 0

We prove that cluster monomials of coefficient-free type \(A_5\) can have Laurent coefficient sequences that are neither unimodal nor log-concave. This disproves the log-concavity and unimodality assertions in Chen’s Conjecture 5.11 and gives a further family of counterexamples to Chen–Sun’s Conjecture 8.2, including its unimodality assertion.

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