Truncated microsupport and holomorphic solutions of D-modules

Details Truncated microsupport and holomorphic solutions of D-modules Truncated microsupport and holomorphic solutions of D-modules

2002-03-10

arxiv.org/abs/math/0203091v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We study the truncated microsupport $Ss_k$ of sheaves on a real manifold. Applying our results to the case of $F=RHom_D(M,O)$, the complex of holomorphic solutions of a coherent $D$-module $M$, we show that $Ss_k(F)$ is completely determined by the characteristic variety of $M$. As an application, we obtain an extension theorem for the sections of $H^j(F)$, $j

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