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math.AC2008★ 9 cited
A generalized logarithmic module and duality of Coxeter multiarrangements
Takuro Abe
We introduce a new definition of a generalized logarithmic module of multiarrangements by uniting those of the logarithmic derivation and the differential modules. This module is r…
math.AC2007★ 2 cited
Formulas of F-thresholds and F-jumping coefficients on toric rings
Daisuke Hirose
F-thresholds are defined by Mustata, Takagi and Watanabe in [F-thresholds and Bernstein-Sato polynomials], which are invariants of the pair of ideals on rings of characteristic …
math.AC2007★ 1 cited
The Jacobian ideal of a hyperplane arrangement
Max Wakefield, Masahiko Yoshinaga
The Jacobian ideal of a hyperplane arrangement is an ideal in the polynomial ring whose generators are the partial derivatives of the arrangements defining polynomial. In this arti…