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A smooth counterexample to Nori's conjecture on the fundamental group scheme
Working paper   Open access

A smooth counterexample to Nori's conjecture on the fundamental group scheme

Christian Pauly

Abstract

14H40, 14D20
We show that Nori's fundamental group scheme \pi(X,x) does not base change correctly under extension of the base field for certain smooth projective ordinary curves X of genus 2 defined over a field of characteristic 2.
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