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Localization at hyperplane arrangements: Combinatorics and D-modules
 

Summary: Localization at hyperplane arrangements:
Combinatorics and D-modules
J. `Alvarez Montaner 1
Departament de Matem`atica Aplicada I
Universitat Polit`ecnica de Catalunya
Avinguda Diagonal 647, 08028 Barcelona, SPAIN
F.J. Castro-Jim´enez ,2
Facultad de Matem´aticas
Universidad de Sevilla
Apdo.1160, 41080 Sevilla, SPAIN
J.M. Ucha 2
Facultad de Matem´aticas
Universidad de Sevilla
Apdo.1160, 41080 Sevilla, SPAIN
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 of the characteristic

  

Source: Alvarez Montaner, Josep - Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya

 

Collections: Mathematics