Local Oort groups and the isolated differential data criterion

DOI10.5802/jtnb.1200zbMath1494.14025arXiv1912.12797OpenAlexW2997599967MaRDI QIDQ2155606

Soumyadip Das, Andrew Obus, Huy Dang, Vaidehee Thatte, Kostas Karagiannis

Publication date: 15 July 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12797

zbMATH Keywords

Vandermonde determinantlocal lifting problemdifferential datalocal Oort group

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Automorphisms of curves (14H37) Galois theory and commutative ring extensions (13B05)

Cites Work

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• The local lifting problem for \(A_4\)
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• Wild tame-by-cyclic extensions
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• The local lifting problem for \(D_4\)
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• The Oort conjecture on lifting covers of curves
• A generalization of the Oort conjecture
• Wildly ramified covers with large genus
• The (local) lifting problem for curves
• Deformation data, Belyi maps, and the local lifting problem
• Obstructions locales au relèvement de revêtements galoisiens de courbes lisses
• Lifting of curves with automorphisms
• The local lifting problem for actions of finite groups on curves

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