English

Enhanced Perverse Subanalytic Sheaves

Algebraic Geometry 2025-03-25 v1

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 D\mathcal{D}-modules, 2016] and [Thm.6.3, Masaki Kashiwara, Riemann-Hilbert correspondence for irregular holonomic D\mathcal{D}-modules, 2016] had been explained. Moreover, in [arXiv:2310.19501], the author defined C\mathbb{C}-constructibility for enhanced subanalytic sheaves and proved that there exists an equivalence of categories between the triangulated category of holonomic D\mathcal{D}-modules and that of C\mathbb{C}-constructible enhanced subanalytic sheaves. In this paper, we will show that there exists a t-structure on the triangulated category of C\mathbb{C}-constructible enhanced subanalytic sheaves whose heart is equivalent to the abelian category of holonomic D\mathcal{D}-modules. Furthermore, we shall consider simple objects of its heart and minimal extensions of objects of its heart.

Keywords

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

R2 v1 2026-06-28T22:30:51.091Z