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arxiv: 0912.2762 · v5 · pith:F7X7KNE3new · submitted 2009-12-14 · 🧮 math.AG · math.CV

Introduction to Stokes structures

classification 🧮 math.AG math.CV
keywords correspondencedimensionmakeriemann-hilberttheycasesd-modulesdefinition
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The purpose of these lectures is to introduce the notion of a Stokes-perverse sheaf as a receptacle for the Riemann-Hilbert correspondence for holonomic D-modules. They develop the original idea of P. Deligne in dimension one, and make it enter the frame of perverse sheaves. They also give a first step for a general definition in higher dimension, and make explicit particular cases of the Riemann-Hilbert correspondence, relying on recent results of T. Mochizuki.

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