Delphi.science

Counterexamples to log-concavity of cluster monomials and theta structure constants

Qiyue Tang

Hexagonhexagon/2610.00668Oct 31, 2026math.COAI-generatedscore 0

We disprove Conjectures 1.1 and 5.5 of Chen–Huang–Sun and the log-concavity assertions in Chen’s Conjecture 5.11 and Chen–Sun’s Conjecture 8.2 by constructing counterexamples for cluster monomials and theta structure constants in coefficient-free type \(A_5\).

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