Etale fundamental groups of affinoid p-adic curves
Journal of Algebraic Geometry
American Mathematical Society
Reason for embargo
Under indefinite embargo pending publication by the American Mathematical Society
We prove that the geometric ´etale 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 ´etale fundamental group is pro-p free of infinite rank (resp. (pro-)prime-to-p free of finite computable rank).
This is the author's accepted manuscript
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