Displaying similar documents to “Positivity Notions for Coherent Sheaves over Compact Complex Spaces.”

The stack of microlocal perverse sheaves

Ingo Waschkies (2004)

Bulletin de la Société Mathématique de France

Similarity:

In this paper we construct the abelian stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Following ideas of Andronikof we first consider microlocal perverse sheaves at a point using classical tools from microlocal sheaf theory. Then we will use Kashiwara-Schapira’s theory of analytic ind-sheaves to globalize our construction. This presentation allows us to formulate explicitly a global microlocal Riemann-Hilbert correspondence.