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arxiv: math/0607227 · v1 · submitted 2006-07-09 · 🧮 math.AG

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

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keywords basefieldfundamentalgroupnorischemesmoothcertain
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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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