Some examples of the Riemann-Hilbert correspondence
نویسنده
چکیده
1.1 Fix a variety X over C. The Riemann-Hilbert correspondence identifies the category of perverse sheaves on X(C) with the (abelian) category of regular holonomic D-modules on X. This is a remarkable and deep theorem in the theory of linear partial differential equations. In this note we will investigate this correspondence in simple examples, exploring the topological and algebraic sides as well as their connection through analysis.
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