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Algebraic Computation of Some Intersection D-Modules

  • F. J. Calderón Moreno
  • L. Narváez Macarro
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4151)

Abstract

Let DC n be a locally quasi-homogeneous free divisor (e.g. a free hyperplane arrangement), \(\cal E\) an integrable logarithmic connection with respect to D and \({\cal L}\) the local system of horizontal sections of \({\cal E}\) on XD. Let \({\rm IC}_X({\cal E})\) be the holonomic regular \({\cal D}_{X}\)-module whose de Rham complex is the intersection complex \({\rm IC}_X({\cal L})\) of Deligne-Goresky-MacPherson. In this paper we show how to use our previous results on the algebraic description of \({\rm IC}_X({\cal E})\) in order to obtain explicit presentations of it. Concrete examples for n = 2 are included.

Keywords

Meromorphic Function Local System Horizontal Section Regular Sequence Algebraic Computation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • F. J. Calderón Moreno
    • 1
  • L. Narváez Macarro
    • 1
  1. 1.Universidad de SevillaSevillaSpain

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