Enhanced Perverse Subanalytic Sheaves
Abstract
In [arXiv:2109.13991], the author explained a relation between enhanced ind-sheaves and enhanced subanalytic sheaves. In particular, a relation between [Thm.9.5.3, Andrea D'Agnolo and Masaki Kashiwara, Riemann-Hilbert correspondence for holonomic -modules, 2016] and [Thm.6.3, Masaki Kashiwara, Riemann-Hilbert correspondence for irregular holonomic -modules, 2016] had been explained. Moreover, in [arXiv:2310.19501], the author defined -constructibility for enhanced subanalytic sheaves and proved that there exists an equivalence of categories between the triangulated category of holonomic -modules and that of -constructible enhanced subanalytic sheaves. In this paper, we will show that there exists a t-structure on the triangulated category of -constructible enhanced subanalytic sheaves whose heart is equivalent to the abelian category of holonomic -modules. Furthermore, we shall consider simple objects of its heart and minimal extensions of objects of its heart.
Cite
@article{arxiv.2503.17747,
title = {Enhanced Perverse Subanalytic Sheaves},
author = {Yohei Ito},
journal= {arXiv preprint arXiv:2503.17747},
year = {2025}
}
Comments
26 pages, to appear in the Proceedings of TJC2023