Effective methods for vanishing cycles of \(p\)-cyclic covers of the \(p\)-adic line.

DOI10.1016/S0021-8693(03)00291-6zbMath1057.14034MaRDI QIDQ1421809

Claus-Michael Lehr

Publication date: 3 February 2004

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Mumford curvestable reduction

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Local ground fields in algebraic geometry (14G20) Coverings of curves, fundamental group (14H30) Computational aspects of algebraic curves (14Q05)

Cites Work

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• Algebraic function fields and codes
• Galois coverings of the non-Archimedean projective line
• \(p\)-rank and semi-stable reduction of curves. II
• Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture
• Towards an algorithm for the stable reduction of \(p\)-cyclic covers of the projective line on a \(p\)-adic field
• The irreducibility of the space of curves of a given genus
• Order 𝑝 automorphisms of the open disc of a 𝑝-adic field
• Reduction of \(p\)-cyclic covers of the projective line

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