Characteristic quasi-polynomials of deletions of Shi arrangements of type B and their period collapse

Autor:	Higashitani, Akihiro, Nakashima, Norihiro
Rok vydání:	2024
Předmět:	Mathematics - Combinatorics 32S22 (Primary) 52C35 (Secondary)
Druh dokumentu:	Working Paper
Popis:	Characteristic quasi-polynomials are the enumerative functions counting the number of elements in the complement of hyperplane arrangements modulo positive integers.In this paper, we compute the characteristic quasi-polynomials of the restriction of the Shi arrangement of type B by one given hyperplane. As a corollary, we determine whether period collapse occurs in the characteristic quasi-polynomial of the deletion of the Shi arrangement of type B. This implies the complete solution for the conjecture posed by Higashtiani, Tran and Yoshinaga. Comment: 29 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.20102 Zobrazit plný text záznamu View this record from Arxiv