Article
Localization at hyperplane arrangements: combinatorics and D-modules
Author/s | Álvarez Montaner, Josep
Castro Jiménez, Francisco Jesús Ucha Enríquez, José María |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2007-10-15 |
Deposit Date | 2016-09-15 |
Published in |
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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 ... 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 Alvarez-Montaner, García–López and Zarzuela of the characteristic cycle of the D-module of meromorphic functions with respect to f. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España Junta de Andalucía |
Project ID. | MTM2004-01850
MTM2004-01165 FQM-333 |
Citation | Álvarez 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. |
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