Details:
Title  Localization at hyperplane arrangements: combinatorics and Dmodules  Author(s)  Jose AlvarezMontaner, Francisco Jesus CastroJimenez, Jose Maria UchaEnriquez  Type  Article in Journal  Abstract  We describe an algorithm for deciding whether the annihilating ideal of the meromorphic function $\frac{1}{f}$, where $f=0$ defines an arrangement of hyperplanes, is generated by linear differential operators of order 1. The algorithm is based on a comparison of two characteristic cycles and uses a combinatorial description of the characteristic cycle of the $\scr D$module of meromorphic functions with respect to $f$, due to J. Alvarez Montaner, R. GarciÂa Lopez and S. Zarzuela Armengou. We use Groebner bases in Dmodule theory to describe the characteristic cycle of a logarithmic Dmodule.  ISSN  00218693 
Language  English  Journal  J. Algebra  Volume  316  Number  2  Pages  662679  Year  2007  Edition  0  Translation 
No  Refereed 
No 
