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- W2138820041 abstract "The tempered fundamental group of a p-adic analytic space classifies coverings that are dominated by a topological covering (for the Berkovich topology) of a finite etale covering of the space. Here we construct cospecialization homomorphisms between (p') versions of the tempered fundamental groups of the fibers of a smooth family of curves with semistable reduction. To do so, we will translate our problem in terms of cospecialization morphisms of fundamental groups of the log fibers of the log reduction. In particular, we will have to study invariance of the geometric log fundamental group of saturated log smooth log schemes over a log point by change of log point." @default.
- W2138820041 created "2016-06-24" @default.
- W2138820041 creator A5049412785 @default.
- W2138820041 date "2009-09-15" @default.
- W2138820041 modified "2023-09-27" @default.
- W2138820041 title "Coverings in p-adic analytic geometry and log coverings I: Cospecialization of the (p')-tempered fundamental group for a family of curves" @default.
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- W2138820041 hasPublicationYear "2009" @default.
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