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Regular and irregular holonomic D-modules

2015/07/01 by Masaki Kashiwara, Pierre Schapira, Kashiwara, Masaki +1
Mathematics · #32C38 #35A27 #35Q15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1507.00118

openalex publication_date 2015/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey paper based on a series of lectures given at the IHES in February/March 2015. In a first part, we recall the main results on the tempered holomorphic solutions of D-modules in the language of indsheaves and, as an application, the Riemann-Hilbert correspondence for regular holonomic modules. In a second part, we present the enhanced version of the first part, treating along the same lines the irregular holonomic case.

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