The algebraic and anabelian geometry of configuration spaces
MOCHIZUKI, Shinichi ; TAMAGAWA, Akio
Hokkaido Math. J., Tome 37 (2008) no. 4, p. 75-131 / Harvested from Project Euclid
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In this paper, we study the pro-$\Sigma$ fundamental groups of configuration, where $\Sigma$ is either the set of all prime numbers or a set consisting of a single prime number. In particular, we show, via two somewhat distinct approaches, that, in many cases, the "fiber subgroups" of such fundamental groups arising from the various natural projections of a configuration space to lower-dimensional configuration spaces may be characterized group-theoretically.
Publié le : 2008-02-15
Classification:  hyperbolic curve,  configuration space,  anabelian,  étale fundamental group,  profinite group,  surface group,  14H10,  14H30 
@article{1253539588,
     author = {MOCHIZUKI, Shinichi and TAMAGAWA, Akio},
     title = {The algebraic and anabelian geometry of configuration spaces},
     journal = {Hokkaido Math. J.},
     volume = {37},
     number = {4},
     year = {2008},
     pages = { 75-131},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1253539588}
}

MOCHIZUKI, Shinichi; TAMAGAWA, Akio. The algebraic and anabelian geometry of configuration spaces. Hokkaido Math. J., Tome 37 (2008) no. 4, pp.  75-131. http://gdmltest.u-ga.fr/item/1253539588/