On the structure of the complement of skeleton
Algebraic Geometry
2025-06-16 v5
Abstract
We study the higher dimensional geometry of Berkovich spaces using virtual open disks, which are given by fibration of relative dimension . Inspired by birational geometry, we conjecture that the Berkovich skeleton is the complement of the union of all virtual open disks, and prove this conjecture for admitting a strictly semistable model with semiample canonical class.
Cite
@article{arxiv.2407.09036,
title = {On the structure of the complement of skeleton},
author = {Morgan Brown and Jiachang Xu and Muyuan Zhang},
journal= {arXiv preprint arXiv:2407.09036},
year = {2025}
}
Comments
We have made minor revisions as requested by the reviewers