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The Riemann-Hilbert correspondence (see, e.g., Thm. 7.2.2 of D-modules, perverse sheaves, and representation theory) shows that analytic perverse sheaves are equivalent to regular holonomic $D$-...

Take $X$ to be a smooth complex projective algebraic variety. The Riemann-Hilbert correspondence gives an equivalence of categories between the category of perverse sheaves on $X$ and the category of ...