2002/09/25 by Ingo Waschkies, Waschkies, Ingo
Mathematics · #32C38 #35A27 #Algebraic Geometry (math.AG) #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AG #math.AP #msc:32C38 #msc:35A27
paper · pdf · doi:10.48550/arxiv.math/0209341
72 pages
arxiv created 2002/09/25 · arxiv updated 2009/11/30
We give an explicit construction of the stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Microlocal perverse sheaves will be represented as complexes of analytic ind-sheaves which have recently been studied by Kashiwara-Schapira. This description allows us to formulate the microlocal Riemann-Hilbert correspondance in order to establish an equivalence of stacks with the stack of regular holonomic microdifferential modules.