Altered local uniformization of Berkovich spaces
Michael Temkin

TL;DR
This paper proves that any compact quasi-smooth strictly $k$-analytic space can be covered by a space with a strictly semistable formal model after a finite extension and quasi-étale cover, extending Hartl's theorem to non-discrete valuations.
Contribution
It extends Hartl's local uniformization theorem to the case of non-discrete valuation fields for compact quasi-smooth strictly $k$-analytic spaces.
Findings
Existence of finite extension and quasi-étale cover for uniformization
Extension of Hartl's theorem to non-discrete valuation fields
Construction of strictly semistable formal models
Abstract
We prove that for any compact quasi-smooth strictly -analytic space there exist a finite extension and a quasi-\'etale covering such that possesses a strictly semistable formal model. This extends a theorem of U. Hartl to the case of the ground field with a non-discrete valuation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
