Exact functors on perverse coherent sheaves

Abstract

Inspired by symplectic geometry and a microlocal characterizations of perverse (constructible) sheaves we consider an alternative definition of perverse coherent sheaves. We show that a coherent sheaf is perverse if and only if $R{\Gamma }_Z(\mathcal{F})$ is concentrated in degree 0 for special subvarieties Z of X. These subvarieties Z are analogs of Lagrangians in the symplectic case.

Small changes to (mostly) match the published version

References in corpus (1)

• Perverse coherent sheaves (after Deligne)