Affiliation: Joint Graduate School of Mathematics for Innovation, Kyushu University, Fukuoka, Japan
E-mail: maehara.shota.027 "at" s.kyushu-u.ac.jp
Key words: hyperplane arrangement; multiarrangement; extendability
Let us consider multiarrangements in a 2-dimensional vector space over a field of characteristic zero. For 2-dimensional multiarrangements, the exponenets of them are very important to consider the freeness of 3-dimensional simple arrangements. Now I'm wondering if we can completely solve the exponents for multiarrangements of the Coxeter arrangment of type B_2, which is the line arrangement defined by xy(x-y)(x+y).
November 1998: Born in Hamada city, Shimane prefecture, Japan
April 2017--March 2021: Bachelor of Engineering Degree, Kyushu University
April 2022--March 2024: Master of Mathematics Degree, Kyushu University
April 2024--: Ph.D. student in Kyushu University