Relèvement galoisien des revêtements de courbes nodales

2000/09/15 by Yannick Henrio, Henrio, Y.
Computer Science · Mathematics · #14E22 #14L27 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary 14G20 #Secondary 14D15

paper · pdf · doi:10.48550/arxiv.math/0009154

openalex publication_date 2000/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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

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