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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Received: 10 February 2000 / Revised version: 13 September 2000
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Henrio, Y. Relèvement galoisien des revêtements¶de courbes nodales. manuscripta math. 106, 131–150 (2001). https://doi.org/10.1007/s002290000131
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DOI: https://doi.org/10.1007/s002290000131