Holonomic D-cap-modules on rigid analytic spaces
Algebraic Geometry
2025-12-10 v1 Number Theory
Abstract
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 inverse image functors, duality, and both direct image functors for projective morphisms), as well as base change results. Up to the open problem of stability under tensor products, we obtain an analogue of the usual six-functor formalism for holonomic D-modules.
Cite
@article{arxiv.2512.08838,
title = {Holonomic D-cap-modules on rigid analytic spaces},
author = {Andreas Bode},
journal= {arXiv preprint arXiv:2512.08838},
year = {2025}
}