Log-concavity and unimodality of cluster monomials of type $A_3$
Representation Theory
2026-05-14 v4 Combinatorics
Rings and Algebras
Abstract
The log-concavity of cluster variables of type and cluster monomials of type was established by Chen-Huang-Sun. It is still a conjecture for the cluster monomials of higher rank. In this paper, we prove the log-concavity and unimodality of the cluster monomials of type , a substantially more intricate case. Moreover, we refine and extend this conjecture by considering the unimodality and the strongly isomorphism of cluster algebras.
Keywords
Cite
@article{arxiv.2601.21496,
title = {Log-concavity and unimodality of cluster monomials of type $A_3$},
author = {Zhichao Chen},
journal= {arXiv preprint arXiv:2601.21496},
year = {2026}
}
Comments
24 pages, 4 figures. Minor typos have been corrected