Altered local uniformization of Berkovich spaces

Michael Temkin

Altered local uniformization of Berkovich spaces

Algebraic Geometry 2016-10-07 v2

Authors: Michael Temkin

Abstract

We prove that for any compact quasi-smooth strictly $k$ -analytic space $X$ there exist a finite extension $l/k$ and a quasi-\'etale covering $X'\to X\otimes_kl$ such that $X'$ 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.

Keywords

Berkovich spaces local uniformization quasi-smooth analytic space quasi-étale covering strictly semistable formal model non-discrete valuation

Cite

@article{arxiv.1503.05729,
  title  = {Altered local uniformization of Berkovich spaces},
  author = {Michael Temkin},
  journal= {arXiv preprint arXiv:1503.05729},
  year   = {2016}
}

Comments

14 pages, to appear in Israel Journal of Mathematics

Altered local uniformization of Berkovich spaces

Abstract

Keywords

Cite

Comments

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