TERAO, Hiroaki:Department of Mathematics,Faculty of Science,Professor,Algebra
- hyperplane arrangements, reflection groups, hypergeometric integrals
- Research Interest:
- Combinatorics, singularities, mathematics related to hypeprlane arrangements
- Research Activities:
- An arrangement of hypoerplanes is a finite collection of hyperplanes in a vector space (or an affine space). This mathematical object can be studied from various viewpoints including combinatorial, algebro-geometric, or topological viewpoints. The fact that arrangements of hyperplanes are naturally related to classical objects such as reflection groups, hypergeometric integrals and topology of hypersurface complements is especially important and many active researches have been done in this context sice the 1980's. An introductory bibliography includes Peter Orlik and Hiroaki Terao: Arrangements of hyperplanes. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 300. Springer-Verlag, Berlin, 1992. xviii+325 pp. ISBN: 3-540-55259-6. This, however, might be a little ourdated. Currently I have been trying to answer the question asking how much the combinatorics of hypeprlane arrangements determines their freeness and multi-freeness.