Wildly ramified covers with large genus

DOI10.1016/j.jnt.2005.10.013zbMath1101.14045arXivmath/0507274OpenAlexW1965522283MaRDI QIDQ2503368

Rachel J. Pries

Publication date: 14 September 2006

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507274

zbMATH Keywords

conductorcurvegenusGalois coverwild ramification

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30)

Related Items (9)

Wild tame-by-cyclic extensions ⋮ Picard Curves with Small Conductor ⋮ Local Oort groups and the isolated differential data criterion ⋮ On the compositum of wildly ramified extensions ⋮ Fields of moduli of three-point \(G\)-covers with cyclic \(p\)-Sylow. II ⋮ Embedding problems and open subgroups ⋮ Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic ⋮ Abhyankar’s conjectures in Galois theory: Current status and future directions ⋮ Subgroup Structure of Fundamental Groups in Positive Characteristic

Cites Work

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• Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.)
• Patching and thickening problems
• Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture
• Abhyankar's conjecture on Galois groups over curves
• Conductors of wildly ramified covers. II
• Families of wildly ramified covers of curves
• Abhyankars Conjecture and embedding problems

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