Étale fundamental groups of affinoid p-adic curves
Journal of Algebraic Geometry
American Mathematical Society
© Copyright 2018 University Press, Inc
We prove that the geometric Étale fundamental group of a (geometrically connected) rigid smooth p-adic affinoid curve is a semi-direct factor of a certain profinite free group. We prove that the maximal pro-p (resp. maximal prime-to-p) quotient of this geometric Étale fundamental group is pro-p free of infinite rank (resp. (pro-)prime-to-p free of finite computable rank).
This is the author accepted manuscript. The final version is available from the American Mathematical Society via the DOI in this record.
Published online 29 June 2018.