Aspherical neighborhoods on arithmetic surfaces: the local case

On arithmetic surfaces over henselian discrete valuation rings we examine whether a geometric point has a basis of étale neighborhoods whose c -completed étale homotopy types are of type K ( π , 1 ) with respect to a full class  c of finite groups.

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Bibliographic Details
Published inManuscripta mathematica Vol. 157; no. 3-4; pp. 323 - 359
Main Author Hübner, Katharina
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2018
Springer Nature B.V
Subjects
Algebraic Geometry
Arithmetic
Calculus of Variations and Optimal Control; Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
14G40 (Primary)11G99
14B15 (Secondary)
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Summary:On arithmetic surfaces over henselian discrete valuation rings we examine whether a geometric point has a basis of étale neighborhoods whose c -completed étale homotopy types are of type K ( π , 1 ) with respect to a full class  c of finite groups.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-018-1004-5