Localization at hyperplane arrangements:: Combinatorics and D-modules

JOURNAL OF ALGEBRA

卷:316

Article

Montaner, J. Alvarez ; Castro-Jimenez, F. J. ; Ucha, J. M.

关键词: characteristic cycle;    localization;    hyperplane arrangements;    logarithmic D-modules;    grobner bases;   

DOI  :  10.1016/j.jalgebra.2006.12.006

来源: Elsevier

【 摘 要 】

We describe an algorithm deciding if the annihilating ideal of the meromorphic function 1/f where f = 0 defines an arrangement of hyperplanes, is generated by linear differential operators of order 1. The algorithm is based on the comparison of two characteristic cycles and uses a combinatorial description of the characteristic cycle of the D-module of meromorphic functions with respect to f, due to Alvarez Montaner, Garcfa Lopez and Zarzuela. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free