Unipotent torsors over generic points of DVRs in char p extend to normalizations in finite separable extensions, globalizing to ramified covers on curves and yielding isomorphisms of unipotent Nori fundamental group schemes.
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The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
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\'Etale Extensions of Unipotent Torsors
Unipotent torsors over generic points of DVRs in char p extend to normalizations in finite separable extensions, globalizing to ramified covers on curves and yielding isomorphisms of unipotent Nori fundamental group schemes.
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Birational invariance of higher Amitsur groups
The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
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