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Altered local uniformization of Berkovich spaces

2015/03/19 by Michael Temkin, Temkin, Michael · 2 citations
Mathematics · Economics, Econometrics and Finance · #Advanced Topology and Set Theory #Stochastic processes and financial applications #Advanced Harmonic Analysis Research

paper · doi:10.1007/s11856-017-1557-0

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.

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