Auslander regularity of completed rings of $p$-adic differential operators
Number Theory
2025-12-10 v2 Rings and Algebras
Representation Theory
Abstract
We prove that any smooth rigid analytic variety admits an affinoid covering such that the Banach algebras involved in the Fr\'echet--Stein presentation of the completed ring of differential operators D-cap are Auslander regular for each . We use this result to prove projection formulae and adjunction results for coadmissible D-cap-modules.
Keywords
Cite
@article{arxiv.2505.08001,
title = {Auslander regularity of completed rings of $p$-adic differential operators},
author = {Andreas Bode},
journal= {arXiv preprint arXiv:2505.08001},
year = {2025}
}