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Altered local uniformization of Berkovich spaces

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Abstract

We prove that for any compact quasi-smooth strictly k-analytic space X there exist a finite extension l/k and a quasi-étale covering X′ → X ⊗ k l 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.

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Authors and Affiliations

  1. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Giv’at Ram, Jerusalem, 91904, Israel

    Michael Temkin

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  1. Michael Temkin
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Correspondence to Michael Temkin.

Additional information

This work was supported by the Israel Science Foundation (grant No. 1018/11).

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Temkin, M. Altered local uniformization of Berkovich spaces. Isr. J. Math. 221, 585–603 (2017). https://doi.org/10.1007/s11856-017-1557-0

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  • DOI: https://doi.org/10.1007/s11856-017-1557-0

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