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July 2020 $\mathbb{C}$-Constructible enhanced ind-sheaves
Yohei Ito
Tsukuba J. Math. 44(1): 155-201 (July 2020). DOI: 10.21099/tkbjm/20204401155

Abstract

A. D'Agnolo and M. Kashiwara proved that their enhanced solution functor induces a fully faithful embedding of the triangulated category of holonomic $\cal D$-modules into the one of $\mathbb{R}$-constructible enhanced ind-sheaves. In this paper, we introduce a notion of $\mathbb{C}$-constructible enhanced ind-sheaves and show that the triangulated category of them is equivalent to its essential image. Moreover we show that there exists a t-structure on it whose heart is equivalent to the abelian category of holonomic $\cal D$-modules.

Citation

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Yohei Ito. "$\mathbb{C}$-Constructible enhanced ind-sheaves." Tsukuba J. Math. 44 (1) 155 - 201, July 2020. https://doi.org/10.21099/tkbjm/20204401155

Information

Published: July 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4194197
Digital Object Identifier: 10.21099/tkbjm/20204401155

Subjects:
Primary: 32C38, 32S60, 35A27

Rights: Copyright © 2020 University of Tsukuba, Institute of Mathematics

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Vol.44 • No. 1 • July 2020
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