Localization at Hyperplane Arrangements: Combinatorics and D-modules
نویسنده
چکیده
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 due to Àlvarez-Montaner, Garćıa–López and Zarzuela of the characteristic cycle of the D-module of meromorphic functions with respect to f .
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