Propagation of the Irregularity of a Microdifferential System

  • Teresa Monteiro Fernandes

    Universidade de Lisboa, Portugal

Abstract

We construct the functor of microlocal analytic irregularity which gives a natural third term of a distinguished triangle associated to the transformation of functors on the derived category of -constructible sheaves. When restricting to -constructible objects we prove that the microlocal irregularity of a microdifferential system propagates along non 1-microcharacteristic directions, as a consequence of the propagation for and ).

Cite this article

Teresa Monteiro Fernandes, Propagation of the Irregularity of a Microdifferential System. Publ. Res. Inst. Math. Sci. 37 (2001), no. 2, pp. 119–139

DOI 10.2977/PRIMS/1145476846