Introduction to Stokes structures

Details Introduction to Stokes structures Introduction to Stokes structures

2009-12-14

arxiv.org/abs/0912.2762v5

Mathematics

Algebraic Geometry

Expanded Lecture notes of lectures given in Lisboa, jan. 2009. V2: 175 pages, 5 figures. Some corrections and improvements and

Scientific paper

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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