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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…
math.CO2019
High order free hyperplane arrangements in 3-dimensional vector spaces
Norihiro Nakashima
Holm introduced -free -arrangements which is a generalization of free arrangements, while he asked whether all -arrangements are -free for large enough. Recen…