Irregular Riemann-Hilbert Correspondence and Enhanced Subanalytic Sheaves

2023/10/30 by Yohei Ito, Ito, Yohei
Mathematics · #18F10 #32S38 #32S60 #35Q15 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2310.19501

openalex publication_date 2023/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In [arXiv:2109.13991], the author explained a relation between enhanced ind-sheaves and enhanced subanalytic sheaves. In this paper, we shall define C-constructability for enhanced subanalytic sheaves which was announced in [arXiv:2109.13991], and show that there exists an equivalence of categories between the triangulated category of C-constructible enhanced subanalytic sheaves and the one of holonomic D-modules.

Related

• Enhanced Perverse Subanalytic Sheaves
• Note on Relation between Enhanced Ind-Sheaves and Enhanced Subanalytic Sheaves
• Note On The Algebraic Irregular Riemann-Hilbert Correspondence
• Riemann-Hilbert correspondence for irregular holonomic D-modules
• Another proof of the Riemann-Hilbert Correspondence for Regular Holonomic D-Modules