Galois covers of type \((p,\cdots,p)\), vanishing cycles formula, and the existence of torsor structures

zbMath1489.11095arXiv1606.07249MaRDI QIDQ1750367

Mohamed Saïdi, Nicholas Williams

Publication date: 18 May 2018

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07249

zbMATH Keywords

\(p\)-adic schemesfinite Galois coverRiemman-Hurwitz formula

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30)

Cites Work

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• Wild ramification and a vanishing cycles formula.
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• On the degeneration of étale \(\mathbb Z/p\mathbb Z\) and \(\mathbb Z/p^2\mathbb Z\)-torsors in equal characteristic \(p>0\)
• Eliminating wild ramification
• Effective Models and Extension of Torsors Over a Discrete Valuation Ring of Unequal Characteristic
• Schémas en groupes de type $(p,\ldots,p)$