Year: 2026
Type: preprint
Abstract: In this article, we study log blow-ups in the setting of log adic spaces. As in the theory of log schemes, we prove the existence of global resolutions of toric singularities for fs log adic spaces log smooth over a $p$-adic field, and the acyclicity of certain sheaves under log blow-ups. One new feature of (log) rigid analytic varieties is their integral structure sheaf: we prove that it is also almost acyclic under log blow-ups in the Kummer étale topology. We also supply some foundational results on log adic spaces.
Source: arXiv (Cornell University)
Author: Shao, Xinyu
Institution: Leibniz University Hannover
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223368966