Localizations at hyperplane arrangements: combinatorics and D-modules
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 desc...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/940 |
| Acceso en línea: | https://hdl.handle.net/2117/940 |
| Access Level: | acceso abierto |
| Palabra clave: | Analytic spaces Geometry, Algebraic Differential algebra Characteristic cycle Localization Hyperplane arrangements Logarithmic D-modules Espais analítics Geometria algèbrica Àlgebra diferencial Classificació AMS::14 Algebraic geometry::14B Local theory Classificació AMS::13 Commutative rings and algebras::13N Differential algebra Classificació AMS::32 Several complex variables and analytic spaces::32C Analytic spaces |
| Sumario: | 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, Garc´ıa–L´opez and Zarzuela of the characteristic cycle of the D-module of meromorphic functions with respect to f. |
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