Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic
DOI10.1007/s00208-008-0279-3zbMath1184.14046arXiv0710.5279OpenAlexW2043901713MaRDI QIDQ1000590
Katherine F. Stevenson, Amílcar Pacheco, Pavel A. Zalesskii
Publication date: 9 February 2009
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.5279
Separable extensions, Galois theory (12F10) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30) Homotopy theory and fundamental groups in algebraic geometry (14F35) Limits, profinite groups (20E18)
Related Items (3)
Cites Work
- A relative Shafarevich theorem
- Finite quotients of the algebraic fundamental group of projective curves in positive characteristic
- Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture
- Abhyankar's conjecture on Galois groups over curves
- Embedding problems with local conditions
- Profinite surface groups and the congruence kernel of arithmetic lattices in \(\text{SL}_2(\mathbb{R})\).
- Étale Galois covers of affine smooth curves. The geometric case of a conjecture of Shafarevich. On Abhyankar's conjecture
- Galois groups of unramified covers of projective curves in characteristic \(p\)
- Wildly ramified covers with large genus
- Local Galois theory in dimension two
- Abhyankars Conjecture and embedding problems
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