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Cospecialization of pro-(p') tempered fundamental groups | | Emmanuel Lepage
; | | Date: |
13 Mar 2009 | | Abstract: | This paper constructs cospecialization homomorphisms between the (p’)
versions of the tempered fundamental group of the fibers of a smooth morphism
with polystable reduction (the tempered fundamental group is a sort of analog
of the topological fundamental group of complex algebraic varieties in the
p-adic world). To construct them, we will start by describing the pro-(p’)
tempered fundamental group of a smooth and proper variety with polystable
reduction in terms of the reduction endowed with its log structure, thus
defining tempered fundamental groups for log polystable varieties. We will also
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, 0903.2349 | | Services: | Forum | Review | PDF | Favorites | |
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