Reduction and lifting of special metacyclic covers

DOI10.1016/S0012-9593(03)00004-1zbMath1042.14005arXivmath/0105052MaRDI QIDQ4707076

Stefan Wewers

Publication date: 9 June 2003

Published in: Annales Scientifiques de lʼÉcole Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105052

zbMATH Keywords

fundamental groupsGalois theorycoverings

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30) Coverings in algebraic geometry (14E20)

Related Items (max. 100)

Reduction of the Hurwitz space of metacyclic covers ⋮ Stable reduction of three point covers ⋮ Fields of moduli of three-point \(G\)-covers with cyclic \(p\)-Sylow. II ⋮ Formal deformation of curves with group scheme action ⋮ Three point covers with bad reduction ⋮ Some $4$-point Hurwitz numbers in positive characteristic

Cites Work

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• On the Jacobian variety of the Fermat curve
• On \(p\)-adic monodromy
• Rigidity, reduction, and ramification
• On the Kodaira dimension of the moduli space of curves
• Galois covers of degree \(p\) and semi-stable reduction of curves in mixed characteristics
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• Néron Models
• Order 𝑝 automorphisms of the open disc of a 𝑝-adic field
• Spécialisation des revêtements en caractéristique p> 0
• Automorphismes d'ordre p des couronnes p-adiques ouvertes
• Algebraic covers: Field of moduli versus field of definition
• Three point covers with bad reduction
• Reduction of covers and Hurwitz spaces

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