English

C-Constructible Enhanced Ind-Sheaves

Algebraic Geometry 2020-06-16 v6

Abstract

A. D'Agnolo and M. Kashiwara proved that their enhanced solution functor induces a fully faithful embedding of the triangulated category of holonomic D-modules into the one of R-constructible enhanced ind-sheaves. In this paper, we define 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 D-modules.

Keywords

Cite

@article{arxiv.1910.09954,
  title  = {C-Constructible Enhanced Ind-Sheaves},
  author = {Yohei Ito},
  journal= {arXiv preprint arXiv:1910.09954},
  year   = {2020}
}

Comments

37 pages, to appear in Tsukuba Journal of Mathematics, some minor mistakes are corrected, a reference updated

R2 v1 2026-06-23T11:51:14.067Z