Regularity for elliptic pairs over $\mathbb{C}[[\hslash ]]$

Abstract

We extend the results of Schapira and Schneiders [12] on relative regularity, finiteness and duality (in the smooth case) of elliptic pairs to the framework of $\mathcal{D}[[\hslash ]]$-modules and constructible sheaves of $\mathbb{C}[[\hslash ]]$-modules.