Oort groups and lifting problems

DOI10.1112/S0010437X08003515zbMath1158.12003arXiv0709.0284MaRDI QIDQ3521135

David Harbater, Ted Chinburg, Robert M. Guralnick

Publication date: 27 August 2008

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0284

zbMATH Keywords

fundamental groupsGalois coverdiscrete valuation rings

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Separable extensions, Galois theory (12F10) Group actions on varieties or schemes (quotients) (14L30) Coverings of curves, fundamental group (14H30) Valuation rings (13F30) Automorphisms of curves (14H37) Formal methods and deformations in algebraic geometry (14D15) Galois theory and commutative ring extensions (13B05)

Related Items (13)

The local lifting problem for \(D_4\) ⋮ Artin characters, Hurwitz trees and the lifting problem ⋮ Galois covers of the open \(p\)-adic disc ⋮ A cohomological treatise of HKG-covers with applications to the Nottingham group ⋮ Bounds on the number of automorphisms of curves over algebraically closed fields ⋮ A generating set for the canonical ideal of HKG-curves ⋮ Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers ⋮ Global Oort groups ⋮ Cyclic extensions and the local lifting problem ⋮ The Oort conjecture on lifting covers of curves ⋮ Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms ⋮ Deformation data, Belyi maps, and the local lifting problem ⋮ Convergence Polygons for Connections on Nonarchimedean Curves

This page was built for publication: Oort groups and lifting problems