The local lifting problem for dihedral groups

DOI10.1215/S0012-7094-06-13431-2zbMath1108.14025arXivmath/0409395MaRDI QIDQ854583

Irene I. Bouw, Stefan Wewers

Publication date: 6 December 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409395

zbMATH Keywords

dihedral groupHurwitz treelocal lift

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Automorphisms of curves (14H37) Formal methods and deformations in algebraic geometry (14D15)

Related Items (13)

The local lifting problem for \(D_4\) ⋮ Artin characters, Hurwitz trees and the lifting problem ⋮ Local Oort groups and the isolated differential data criterion ⋮ Galois covers of the open \(p\)-adic disc ⋮ Problems from the Workshop on Automorphisms of Curves ⋮ Global Oort groups ⋮ Liftable \(D_{4}\)-covers ⋮ Galois covers of degree \(p\) and semi-stable reduction of curves in mixed characteristics ⋮ Cyclic extensions and the local lifting problem ⋮ Abhyankar’s conjectures in Galois theory: Current status and future directions ⋮ Deformation data, Belyi maps, and the local lifting problem ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Some $4$-point Hurwitz numbers in positive characteristic

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• Formal deformations of wildly ramified coverings of algebraic curves
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• Order 𝑝 automorphisms of the open disc of a 𝑝-adic field
• Obstructions locales au relèvement de revêtements galoisiens de courbes lisses

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