Regularity for elliptic pairs over C[[h]]

Abstract

We extend the results of Schapira and Schneiders on relative regularity and finiteness of elliptic pairs to the framework of $\shd[[\hbar]]$-modules and $\mathbb{R}$-constructible sheaves of $\C[[\h]]$-modules. We also construct a relative duality morphism for elliptic pairs in the smooth case and we prove that it is an isomorphism if the elliptic pair satisfies the finiteness criteria.

Final version. The title was changed. Accepted for publication in Rendiconti del Seminario Matematico della Università di Padova

References in corpus (2)

• Deformation quantization modules
• Regular holonomic D[[h]]-modules