Details:
Title  Localization at hyperplane arrangements: Combinatorics and modules  Author(s)  Jose AlvarezMontaner, Francisco Jesus CastroJimenez, Jose Maria UchaEnriquez  Type  Article in Journal  Abstract  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 Àlvarez Montaner, García López and Zarzuela.  Keywords  Characteristic cycle, Localization, Hyperplane arrangements, Logarithmic D modules, Gröbner bases  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869306008362 
Language  English  Journal  Journal of Algebra  Volume  316  Number  2  Pages  662  679  Year  2007  Note  Computational Algebra  Edition  0  Translation 
No  Refereed 
No 
