Andreas Bode

collaborators

3 papers

math.AG2025

Holonomic D-cap-modules on rigid analytic spaces

Andreas Bode

We adapt Caro's notion of overholonomicity to give a definition of holonomic D-cap-modules on rigid analytic spaces. We prove stability under five of the six operations (both inver…

math.NT2025

Auslander regularity of completed rings of $p$ -adic differential operators

Andreas Bode

We prove that any smooth rigid analytic variety $X$ admits an affinoid covering ${U_{i}}$ such that the Banach algebras involved in the FrÃ©chet--Stein presentation of the complete…

math.RT2025

Auslander regularity of $p$ -adic Banach algebras via almost mathematics

Andreas Bode

We discuss an "almost" version of Auslander regularity and use it to prove the Auslander regularity of various Banach algebras over non-discretely valued fields appearing naturally…

Holonomic D-cap-modules on rigid analytic spaces

Auslander regularity of completed rings of p-adic differential operators

Auslander regularity of p-adic Banach algebras via almost mathematics

Auslander regularity of completed rings of $p$ -adic differential operators

Auslander regularity of $p$ -adic Banach algebras via almost mathematics