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math.CO2019
Modular Construction of Free Hyperplane Arrangements
Shuhei Tsujie
In this article, we study freeness of hyperplane arrangements. One of the most investigated arrangement is a graphic arrangement. Stanley proved that a graphic arrangement is free…
math.CO2019
Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species
Norihiro Nakashima, Shuhei Tsujie
The number of flats of a hyperplane arrangement is considered as a generalization of the Bell number and the Stirling number of the second kind. Robert Gill gave the exponential ge…