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1 results

  • Image inverse d'un $\cal D$-module et polygone de Newton (Inverse Image of a$\cal D$-module and Newton Polygon)

  • Yves Laurent, Zoghman Mebkhout
  • Journal:
    Compositio Mathematica / Volume 131 / Issue 1 / March 2002
    Published online by Cambridge University Press:
    04 December 2007, pp. 97-119
    Print publication:
    March 2002
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  • We show that, under conditions about the microcharacteristic variety of a coherent $\cal D$-module, the Cauchy problem is well-posed in the spaces of formal power series with Gevrey growth. We deduce that the filtration of the Irregularity Sheaf of a holonomic $\cal D$-module, which we defined in a previous work, is preserved under inverse image if some rather general geometric conditions are fullfilled.