| 研究実績の概要 |
In this fiscal year, I have been working on a number of projects focused on combinatorics of hyperplane arrangements:
1. (joint with A. Tsuchiya (Tokyo)) Log-concavity of A-Eulerian polynomial (a new concept introduced in a recent paper of A. U. Ashraf (Western Ontario), M. Yoshinaga (Hokkaido) and myself) of cocomparability graphs
2. (joint with T. Abe (Kyushu) and S. Tsujie (Hokkaido)) The freeness of arrangements “between Shi and Ish” (introduced by Duarte and Guedes de Oliveira)
3. (joint with H. C. Mai (Kyoto)) Applications of Ricci curvature to graph colorings
4. (joint with A.Higashitani (Osaka)) Period collapse of characteristic quasi-polynomials using mutations from algebraic geometry
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