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Coverings in p-adic analytic geometry and log coverings I: Cospecialization of the (p')-tempered fundamental group for a family of curves | | Emmanuel Lepage
; | | Date: |
15 Sep 2009 | | 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. | | Source: | arXiv, 0909.2805 | | Services: | Forum | Review | PDF | Favorites | |
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