Álvarez Montaner, JosepCastro Jiménez, Francisco JesúsUcha Enríquez, José María2016-09-152016-09-152007-10-15Álvarez Montaner, J., Castro Jiménez, F.J. y Ucha Enríquez, J.M. (2007). Localization at hyperplane arrangements: combinatorics and D-modules. Journal of Algebra, 316 (2), 662-679.0021-8693http://hdl.handle.net/11441/45019We 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 Alvarez-Montaner, García–López and Zarzuela of the characteristic cycle of the D-module of meromorphic functions with respect to f.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Characteristic cycleLocalizationHyperplane arrangementsLogarithmic D-modulesGröbner basesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jalgebra.2006.12.006