Relèvement galoisien des revêtements de courbes nodales

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.

arXiv commentTo appear in Manuscripta Mathematica

References in corpus (1)

• Arbres de Hurwitz et automorphismes d'ordre p des disques et des couronnes p-adiques formels