Abstract:
We give the description of the $t$-structure on the derived category of regular holonomic $\mathscr D$-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 $\mathscr O$-modules.
Key words and phrases:$\mathscr D$-modules, $t$-structures, Riemann–Hilbert correspondence.