Auslander regularity of completed rings of p-adic differential operators

2025/05/12 by Bode, Andreas · 2 citations
#14F10 #14G22 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2505.08001

Abstract

We prove that any smooth rigid analytic variety X admits an affinoid covering \U_i\ such that the Banach algebras involved in the Fréchet--Stein presentation of the completed ring of differential operators D-cap(U_i) are Auslander regular for each i. We use this result to prove projection formulae and adjunction results for coadmissible D-cap-modules.

Cited by

• Holonomic D-cap-modules on rigid analytic spaces
• A fully faithful p-adic Riemann-Hilbert functor for coadmissible D-cap-modules

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