Fourier-Sato Transform on Hyperplane Arrangements

Abstract

The theory of perverse sheaves can be said to provide an interpolation between homology and cohomology (or to mix them in a self-dual way). Since homology, sheaf-theoretically, can be understood as cohomology with compact support, interesting operations on perverse sheaves usually combine the functors of the types f! and f∗ or, dually, the functors of the types f! and f∗ in the classical formalism of Grothendieck.