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Enhanced perversities

  • Andrea D’Agnolo EMAIL logo and Masaki Kashiwara


On a complex manifold, the Riemann–Hilbert correspondence embeds the triangulated category of (not necessarily regular) holonomic 𝒟-modules into the triangulated category of ℝ-constructible enhanced ind-sheaves. The source category has a standard t-structure. Here, we provide the target category with a middle perversity t-structure, and prove that the embedding is exact.

In the paper, we also discuss general perversities in the framework of â„ť-constructible enhanced ind-sheaves on bordered subanalytic spaces.

Award Identifier / Grant number: 15H03608

Award Identifier / Grant number: CPDA159224

Funding statement: The first author was partially supported by grant CPDA159224, Padova University. The second author was supported by Grant-in-Aid for Scientific Research (B) 15H03608, Japan Society for the Promotion of Science.


The first author acknowledges the kind hospitality at RIMS, Kyoto University, during the preparation of this paper.


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Received: 2015-12-18
Revised: 2016-07-08
Published Online: 2016-11-08
Published in Print: 2019-06-01

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