Cyclic extensions and the local lifting problem

DOI10.4007/annals.2014.180.1.5zbMath1307.14042arXiv1203.5057OpenAlexW2963821608MaRDI QIDQ2251004

Stefan Wewers, Andrew Obus

Publication date: 10 July 2014

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5057

zbMATH Keywords

liftingGalois groupbranched coverOort conjecture

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30) Rigid analytic geometry (14G22) Automorphisms of curves (14H37) Inseparable field extensions (12F15) Galois theory and commutative ring extensions (13B05) Witt vectors and related rings (13F35)

Related Items (15)

The local lifting problem for \(D_4\) ⋮ Morphisms of Berkovich curves and the different function ⋮ Wild ramification kinks ⋮ Local Oort groups and the isolated differential data criterion ⋮ A cohomological treatise of HKG-covers with applications to the Nottingham group ⋮ Ramification and nearby cycles for \(\ell\)-adic sheaves on relative curves ⋮ The relative canonical ideal of the Kummer-Artin Schreier-Witt family of curves ⋮ Fields of moduli of three-point \(G\)-covers with cyclic \(p\)-Sylow. II ⋮ A generating set for the canonical ideal of HKG-curves ⋮ Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers ⋮ Global Oort groups ⋮ Fiercely ramified cyclic extensions of \(p\)-adic fields with imperfect residue field ⋮ The Oort conjecture on lifting covers of curves ⋮ Abhyankar’s conjectures in Galois theory: Current status and future directions ⋮ Convergence Polygons for Connections on Nonarchimedean Curves

Cites Work

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