均匀拟阵的Chow多项式是实根多项式
组合数学
2025-09-19 v2
摘要
June Huh和Matthew Stevens猜想任何拟阵的Chow环的Hilbert-Poincaré级数是只有实零点的多项式。我们证明了均匀拟阵类的这一猜想。我们还证明了任何最大秩偏序集的Chow多项式和增广Chow多项式只有实零点。
引用
@article{arxiv.2501.07364,
title = {Chow polynomials of uniform matroids are real-rooted},
author = {Petter Brändén and Lorenzo Vecchi},
journal= {arXiv preprint arXiv:2501.07364},
year = {2025}
}
备注
9 pages, 1 figure version 2: minor changes and added Corollary 4.2