A basis construction of the extended Catalan and Shi arrangements of the type A2

Takuro Abe, Daisuke Suyama

研究成果: Contribution to journalArticle査読

抄録

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.

本文言語英語
ページ(範囲)20-35
ページ数16
ジャーナルJournal of Algebra
493
DOI
出版ステータス出版済み - 1 1 2018

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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