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Algebraic Computation of Some Intersection D-Modules

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Mathematical Software - ICMS 2006 (ICMS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4151))

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Abstract

Let D⊂C 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 X–D. 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.

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Authors and Affiliations

  1. Universidad de Sevilla, P.O. Box 1160, 41080, Sevilla, Spain

    F. J. Calderón Moreno & L. Narváez Macarro

Authors
  1. F. J. Calderón Moreno
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  2. L. Narváez Macarro
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, E-39005, Santander, Spain

    Andrés Iglesias

  2. Faculty of Science Department of Mathematics, Kobe University, 1-1, Rokkodai, Nada-ku, 657-8501, Kobe, Japan

    Nobuki Takayama

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Moreno, F.J.C., Macarro, L.N. (2006). Algebraic Computation of Some Intersection D-Modules. In: Iglesias, A., Takayama, N. (eds) Mathematical Software - ICMS 2006. ICMS 2006. Lecture Notes in Computer Science, vol 4151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11832225_12

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  • DOI: https://doi.org/10.1007/11832225_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38084-9

  • Online ISBN: 978-3-540-38086-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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