Wild tame-by-cyclic extensions

DOI10.1016/j.jpaa.2009.06.017zbMath1233.11125arXiv0807.4790OpenAlexW1600347023MaRDI QIDQ847142

Andrew Obus, Rachel J. Pries

Publication date: 12 February 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4790

zbMATH Keywords

ramificationArtin-Schreier-Witt extensionsLocal fields

Mathematics Subject Classification ID

Galois theory (11S20) Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30) Ramification and extension theory (11S15)

Related Items (9)

On convergence of stringy motives of wild pⁿ-cyclic quotient singularities ⋮ Local Oort groups and the isolated differential data criterion ⋮ Moduli of formal torsors ⋮ Fiercely ramified cyclic extensions of \(p\)-adic fields with imperfect residue field ⋮ The Oort conjecture on lifting covers of curves ⋮ Ramification in cyclic extensions of degree \(p^2\) of complete discrete valuation fields of prime characteristic \(p\) with imperfect residue field ⋮ Bad Reduction of Genus Three Curves with Complex Multiplication ⋮ Artin-Schreier root stacks ⋮ Abhyankar’s conjectures in Galois theory: Current status and future directions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ramification groups in Artin-Schreier-Witt extensions
• Formal deformations of wildly ramified coverings of algebraic curves
• Determining irreducibility and ramification groups for an additive extension of the rational function field.
• Wildly ramified covers with large genus
• Families of wildly ramified covers of curves

This page was built for publication: Wild tame-by-cyclic extensions