Variation of fundamental groups of curves in positive characteristics
classification
🧮 math.AG
math.NT
keywords
curvesfamilyfundamentalpositivecharacteristiccharacteristicsconstantfibres
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In this paper we prove that given a non-isotrivial family of hyperbolic curves in positive characteristic, the isomorphism type of the geometric fundamental group is not constant on the fibres of the family.
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