Truncated microsupport and hyperbolic inequalities
نویسنده
چکیده
We prove that the k-truncated microsupport of the specialization of a complex of sheaves F along a submanifold is contained in the normal cone to the conormal bundle along the k-truncated microsupport of F . In the complex case, applying our estimates to F = RHomD(M,O), where M is a coherent D-module, we obtain new estimates for the truncated microsupport of real analytic solutions. When M is regular along Y we also obtain estimates for the truncated microsupport of the holomorphic solutions of the induced system along Y as well as for the nearby-cycle sheaf of M when Y is a hypersurface.
منابع مشابه
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