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

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

2006-07-09

arxiv.org/abs/math/0607227v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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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