Shuhei Tsujie (Hokkaido University of Education)

Title: Arrangements over residually finite Dedekind domains and

their complements modulo nonzero ideals

Abstract: Kamiya, Takemura, and Terao initiated the theory of the characteristic quasi-polynomial of an integral arrangement, which is a function counting the elements in the complement modulo positive integers. Recently, Liu, Tran, and Yoshinaga showed that the most degenerate constituent of the characteristic quasi-polynomial coincides with the characteristic polynomial of the corresponding toric arrangement.

In this talk, we consider an arrangement over a Dedekind domain such that every residue ring with a nonzero ideal is finite and give an algebraic generalization of the characteristic quasi-polynomial.

This is joint work with M. Kuroda (Nippon Bunri University).