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.
Mathematics Subject Classification (2010). 14L15, 14F20.
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Garuti, M.A. (2013). On the “Galois Closure” for Finite Morphisms. In: Dèbes, P., Emsalem, M., Romagny, M., Uludağ, A. (eds) Arithmetic and Geometry Around Galois Theory. Progress in Mathematics, vol 304. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0487-5_6
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DOI: https://doi.org/10.1007/978-3-0348-0487-5_6
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Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-0487-5
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