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The Semi-absolute Anabelian Geometry of Geometrically Pro-$p$ Arithmetic Fundamental Groups of Associated Low-Dimensional Configuration Spaces
Let p be a prime number. In the present paper, we study geometrically pro- p arithmetic fundamental groups of low-dimensional configuration spaces associated to a given hyperbolic curve over an arithmetic field such as a number field or a p -adic local field. Our main results concern the group-theoretic reconstruction …