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On the “Galois Closure” for Finite Morphisms

  • Marco A. GarutiEmail author
Conference paper
Part of the Progress in Mathematics book series (PM, volume 304)

Abstract

We give necessary and sufficient conditions for a finite flat morphism of schemes of characteristic Hurwitz stacks.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.

Keywords

Torsors fundamental groups Grothendieck topologies 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversitàdegli Studi di PadovaPadovaItaly

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