On the Real-rootedness of the Local $h$-polynomials of Edgewise Subdivisions of Simplexes
Philip B. Zhang · arXiv (Cornell University) · 2016
Athanasiadis conjectured, for every positive integer $r$, the local $h$-polynomial of $r$th edgewise subdivision of any abstract complex has only real zeros. In this paper, we prove this conjecture by the method of interlacing polynomials, which recently has been widely developed.