Riemann-Hilbert correspondence for irregular holonomic D-modules

2015/12/24 by Masaki Kashiwara, Kashiwara, Masaki
Mathematics · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV

paper · pdf · doi:10.48550/arxiv.1512.07723

36 pages. arXiv admin note: text overlap with arXiv:1507.00118

arxiv created 2015/12/24 · arxiv updated 2015/12/25

Abstract

This is a survey paper on the Riemann-Hilbert correspondence on (irregular) holonomic D-modules, based on the 16-th Takagi lecture (2015/11/28). In this paper, we use subanalytic sheaves, an analogous notion to the one of indsheaves.

Citations

• Regular and irregular holonomic D-modules

Related

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