paper

C-Constructible Enhanced Ind-Sheaves

arXiv:1910.09954

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.

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

C-Constructible Enhanced Ind-Sheaves · wovepaper