Relèvement galoisien des revêtements de courbes nodales

Details Relèvement galoisien des revêtements de courbes nodales Relèvement galoisien des revêtements de courbes nodales

2000-09-15

arxiv.org/abs/math/0009154v1

Mathematics

Algebraic Geometry

To appear in Manuscripta Mathematica

Scientific paper

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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