We give necessary and sufficient conditions for a finite morphism of schemes of characteristic p > 0 to be dominated by a torsor under a finite group scheme. We show that schemes satisfying this property constitute the category of covers for the fundamental group scheme.
On the "Galois closure" for finite morphisms
GARUTI, MARCO-ANDREA
2010
Abstract
We give necessary and sufficient conditions for a finite morphism of schemes of characteristic p > 0 to be dominated by a torsor under a finite group scheme. We show that schemes satisfying this property constitute the category of covers for the fundamental group scheme.
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