The h*-Polynomials of Locally Anti-Blocking Lattice Polytopes and Their γ-Positivity
The h*-Polynomials of Locally Anti-Blocking Lattice Polytopes and Their γ-Positivity
复制标题
局部抗阻塞晶格多胞体的h*多项式及其γ正性
DOI：
10.1007/s00454-020-00236-6
复制
发表时间：
2021
影响因子：
0.8
通讯作者：
Tsuchiya Akiyoshi
中科院分区：
文献类型：
--
作者：
Ohsugi Hidefumi;Tsuchiya Akiyoshi
一个格多面体称为局部抗阻塞多面体，如果对任意闭正交图，通过坐标超平面的反射，它单模等价于一个抗阻塞多面体。本文给出了局部反阻塞格多面体的-多项式公式。特别地，我们讨论了局部反阻塞自反多面体的-多项式的-正性。
A lattice polytopeis called a locally anti-blocking polytope if for any closed orthantin,is unimodularly equivalent to an anti-blocking polytope by reflections of coordinate hyperplanes. We give a formula for the-polynomials of locally anti-blocking lattice polytopes. In particular, we discuss the-positivity of-polynomials of locally anti-blocking reflexive polytopes.