4 papers
The characteristic quasi-polynomials of hyperplane arrangements with actions of finite groups
Ryo Uchiumi
In this paper, we introduce an equivariant version of the characteristic quasi-polynomials as the permutation characters on the complement of mod hyperplane arrangements. We pr…
Exponents of 2-multiarrangements of three lines over fields of positive characteristic
Shuhei Tsujie, Ryo Uchiumi
Wakamiko determined bases and the exponents for multiarrangements of three lines over a field of characteristic zero. In this paper, we study the exponents of multiarrangements of…
-deformation of chromatic polynomials and graphical arrangements
Tongyu Nian, Shuhei Tsujie, Ryo Uchiumi +1
We first observe a mysterious similarity between the braid arrangement and the arrangement of all hyperplanes in a vector space over the finite field . These two arra…
The quasi-polynomiality of mod q permutation representation for a linear finite group action on a lattice
Ryo Uchiumi, Masahiko Yoshinaga
For given linear action of a finite group on a lattice and a positive integer q, we prove that the mod q permutation representation is a quasi-polynomial in q. Additionally, we est…