Microsupport of tempered solutions of D-modules associated to smooth morphisms
نویسنده
چکیده
Let f : X → Y be a smooth morphism of complex analytic manifolds, and let F be an R-constructible sheaf on Y . LetM be a coherent DX -module. We prove that the microsupport of RHomDX (M, tHom(f −1F,OX)) is contained in the 1-microcharacteristic variety of M along V = X × Y T Y . As a consequence, we obtain a similar estimate for the microsupport of the complex of solutions of M in the sheaf of distributions holomorphic in the fibers of an arbitrary smooth morphism.
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تاریخ انتشار 2008