T-structures on the derived categories of D-modules and O-modules

Masaki Kashiwara

Published 2003-02-08, updated 2003-02-15Version 2

We give the description of the t-structure on the derived category of regular holonomic D-modules corresponding to the trivial t-structure on the derived category of constructible sheaves via Riemann-Hilbert correspondence. We give also the condition for a decreasing sequence of families of supports to give a t-structure on the derived category of coherent O-modules.