2025/03/22 by Ito, Yohei
#18F10 #32C38 #32S60 #35Q15 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2503.17747
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-modules, 2016] and [Thm.6.3, Masaki Kashiwara, Riemann-Hilbert correspondence for irregular holonomic D-modules, 2016] had been explained. Moreover, in [arXiv:2310.19501], the author defined ℂ-constructibility for enhanced subanalytic sheaves and proved that there exists an equivalence of categories between the triangulated category of holonomic D-modules and that of ℂ-constructible enhanced subanalytic sheaves. In this paper, we will show that there exists a t-structure on the triangulated category of ℂ-constructible enhanced subanalytic sheaves whose heart is equivalent to the abelian category of holonomic D-modules. Furthermore, we shall consider simple objects of its heart and minimal extensions of objects of its heart.