Riemann-Hilbert correspondence for holonomic D-modules

19 Aug 2015  ·  D'Agnolo Andrea, Kashiwara Masaki ·

The classical Riemann-Hilbert correspondence establishes an equivalence between the triangulated category of regular holonomic D-modules and that of constructible sheaves. In this paper, we prove a Riemann-Hilbert correspondence for holonomic D-modules which are not necessarily regular... The construction of our target category is based on the theory of ind-sheaves by Kashiwara-Schapira and influenced by Tamarkin's work. Among the main ingredients of our proof is the description of the structure of flat meromorphic connections due to Mochizuki and Kedlaya. read more

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Algebraic Geometry Complex Variables