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Relèvement galoisien des revêtements de courbes nodales

Y. Henrio
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Abstract

Let R be a complete discrete valuation ring of mixed characteristics, with algebraically closed residue field k. We study the existence problem of equivariant liftings to R of Galois covers of nodal curves over k. Using formal geometry, we show that this problem is actually a local one. We apply this local-to-global principle to obtain new results concerning the existence of such liftings.

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Y. Henrio. 2000-09-15. Relèvement galoisien des revêtements de courbes nodales. https://arxiv.org/abs/math/0009154

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