Hokkaido University | Library | HUSCAP Advanced Search 言語 日本語 English

# The stability of the family of B2-type arrangements

Files in This Item:
 pre790.pdf 252.47 kB PDF View/Open
 Title: The stability of the family of B2-type arrangements Authors: Abe, Takuro Browse this author Keywords: hyperplane arrangement Coxeter group stable vector bundle splitting of vector bundle Issue Date: 2-Jun-2006 Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 790 Start Page: 1 End Page: 47 Abstract: We introduce a $B_2$-type arrangements as a generalization of the classical Coxeter arrangement of type $B_2$, and consider the stability and the freeness of it. We show their (semi)stability is determined by the combinatorics. Moreover, we give a partial answer to the $4$-shift problem, which is the conjecture on the combinatorics and geometry induced from $B_2$-type arrangements. Type: bulletin (article) URI: http://hdl.handle.net/2115/69598 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics