Inverse Galois problem for ordinary curves

DOI10.1142/S1793042118500811zbMath1408.14104arXiv1704.07608MaRDI QIDQ4643782

Raymond Van Bommel

Publication date: 29 May 2018

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

Full work available at URL: https://arxiv.org/abs/1704.07608

zbMATH Keywords

deformation theorycoverscurves\(p\)-rank

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30) Deformations of singularities (14B07) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

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• Mock covers and Galois extensions
• \(1\tfrac 12\)-generation of finite simple groups
• Hyperelliptic curves with prescribed \(p\)-torsion
• The irreducibility of the space of curves of a given genus
• Fake Liftings of Galois Covers between Smooth Curves
• Complete subvarieties of moduli spaces and the Prym map

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