Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771670 | Journal of Algebra | 2018 | 16 Pages |
Abstract
In [10], Terao proved the freeness of multi-Coxeter arrangements with constant multiplicities by giving an explicit construction of bases. Combining it with algebro-geometric method, Yoshinaga proved the freeness of the extended Catalan or Shi arrangements in [12]. However, there have been no explicit constructions of the bases for the logarithmic derivation modules of the extended Catalan and Shi arrangements. In this paper, we give the first explicit construction of them when the root system is of the type A2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Takuro Abe, Daisuke Suyama,