The Oort conjecture on lifting covers of curves

DOI10.4007/annals.2014.180.1.6zbMath1311.12003arXiv1203.1867OpenAlexW2123601618WikidataQ123246899 ScholiaQ123246899MaRDI QIDQ2251005

Florian Pop

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/1203.1867

zbMATH Keywords

Witt vectorsOort conjectureArtin-Schreier-Witt theoryGalois \(G\)-covers of curvesHilbert ramification theorylifting of \(G\)-coverssmooth curves over valuation rings

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Galois theory and commutative ring extensions (13B05) Witt vectors and related rings (13F35)

Related Items

The local lifting problem for \(D_4\), Local Oort groups and the isolated differential data criterion, A cohomological treatise of HKG-covers with applications to the Nottingham group, The relative canonical ideal of the Kummer-Artin Schreier-Witt family of curves, Indecomposability and cyclicity in the p-primary part of the Brauer group of a p-adic curve, 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, Abhyankar’s conjectures in Galois theory: Current status and future directions, Equivariant splitting of the Hodge-de Rham exact sequence, Convergence Polygons for Connections on Nonarchimedean Curves

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