Regular holonomic D[[h]]-modules

Abstract

We describe the category of regular holonomic modules over the ring D[[h]] of linear differential operators with a formal parameter h. In particular, we establish the Riemann-Hilbert correspondence and discuss the additional t-structure related to h-torsion.

39 pages

References in corpus (1)

• Deformation quantization modules

Cited by in corpus (6)

• Deformation quantization modules
• Riemann-Hilbert correspondence for mixed twistor D-Modules
• Relative Regular Riemann-Hilbert correspondence II
• $t$-Structures for Relative $\mathcal{D}$-Modules and $t$-Exactness of the de Rham Functor
• Reconstruction of a variety from $\mathcal{O}[[\hslash ]]$-modules
• Regularity for elliptic pairs over C[[h]]