论文标题
特征性的准多项式，用于A，B，C和D型Coxeter排列的变形
Characteristic quasi-polynomials for deformations of Coxeter arrangements of types A, B, C, and D
论文作者
论文摘要
Kamiya，Takemura和Terao引入了一个特征性的准多项式，该元素列举了超平面布置的补充中的元素数量模型阳性整数。在本文中，我们计算了包含正顺序基础描述的A，B，C和D的排列的特征性准多项式。我们还为其缺失排列计算了特征性的准多项式，我们可以证明它们是分解的。从这个结果，相应的圆环布置产生的poset是电感poset。
Kamiya, Takemura, and Terao introduced a characteristic quasi-polynomial which enumerates the numbers of elements in the complement of hyperplane arrangements modulo positive integers. In this paper, we compute the characteristic quasi-polynomials for arrangements which contain the Coxeter arrangements of types A, B, C, and D described by the orthonormal basis. We also compute the characteristic quasi-polynomials for their deletion arrangements and we can show that they are factorized. From this result, the poset generated by hypertori of the corresponding torus arrangement is an inductive poset.
