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TitleLocalization at hyperplane arrangements: Combinatorics and -modules
Author(s) Jose Alvarez-Montaner, Francisco Jesus Castro-Jimenez, Jose Maria Ucha-Enriquez
TypeArticle in Journal
AbstractWe 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 of the characteristic cycle of the D -module of meromorphic functions with respect to f, due to Àlvarez Montaner, García López and Zarzuela.
KeywordsCharacteristic cycle, Localization, Hyperplane arrangements, Logarithmic D -modules, Gröbner bases
ISSN0021-8693
URL http://www.sciencedirect.com/science/article/pii/S0021869306008362
LanguageEnglish
JournalJournal of Algebra
Volume316
Number2
Pages662 - 679
Year2007
NoteComputational Algebra
Edition0
Translation No
Refereed No
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