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Localization at hyperplane arrangements: combinatorics and D-modules

 

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Opened Access Localization at hyperplane arrangements: combinatorics and D-modules
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Author: Álvarez Montaner, Josep
Castro Jiménez, Francisco Jesús
Ucha Enríquez, José María
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2007-10-15
Published in: Journal of Algebra, 316 (2), 662-679.
Document type: Article
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 due to Alvarez-Montaner, García–López and Zarzuela of the characteristic cycle of the D-module of meromorphic functions with respect to f.
Cite: 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.
Size: 198.7Kb
Format: PDF

URI: http://hdl.handle.net/11441/45019

DOI: 10.1016/j.jalgebra.2006.12.006

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