Altered local uniformization of Berkovich spaces

Michael Temkin

doi:10.1007/s11856-017-1557-0

Altered local uniformization of Berkovich spaces

Michael Temkin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

7 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2017, Hebrew University of Jerusalem.

Access to Document

10.1007/s11856-017-1557-0

Cite this

@article{7c1482b1eaf64fad9f4de4d5d760aac6,

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.",

author = "Michael Temkin",

note = "Publisher Copyright: {\textcopyright} 2017, Hebrew University of Jerusalem.",

year = "2017",

month = sep,

day = "1",

doi = "10.1007/s11856-017-1557-0",

language = "אנגלית",

volume = "221",

pages = "585--603",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Altered local uniformization of Berkovich spaces

AU - Temkin, Michael

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85026900849

U2 - 10.1007/s11856-017-1557-0

DO - 10.1007/s11856-017-1557-0

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85026900849

SN - 0021-2172

VL - 221

SP - 585

EP - 603

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

Altered local uniformization of Berkovich spaces

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this