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 localtoglobal principle to obtain new results concerning the existence of such liftings.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 2000
 arXiv:
 arXiv:math/0009154
 Bibcode:
 2000math......9154H
 Keywords:

 Mathematics  Algebraic Geometry;
 Primary 14G20;
 14L27;
 Secondary 14D15;
 14E22
 EPrint:
 To appear in Manuscripta Mathematica