Altered local uniformization of Berkovich spaces

Michael Temkin

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

Altered local uniformization of Berkovich spaces

Michael Temkin

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 ⊗_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.

Original language	English
Pages (from-to)	585-603
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	221
Issue number	2
DOIs	https://doi.org/10.1007/s11856-017-1557-0
State	Published - 1 Sep 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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

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title = "Altered local uniformization of Berkovich spaces",

abstract = "We prove that for any compact quasi-smooth strictly k-analytic space X there exist a finite extension l/k and a quasi-{\'e}tale covering X′ → X ⊗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.",

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AB - 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 ⊗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.

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EP - 603

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

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Altered local uniformization of Berkovich spaces

Abstract

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