Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Truncated microsupport and holomorphic solutions of D-modules   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 $H^j(F)$, $j<d$, defined on an open
subset whose boundary is non characteristic outside of a complex analytic
subvariety of codimension $d$. We also give a characterization of the
perversity for ${\bf C}$-constructible sheaves in terms of their truncated
microsupports.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: econ