Root number of the Jacobian of \(y^2 = x^p+a\)

DOI10.5802/jtnb.1217OpenAlexW3127290655MaRDI QIDQ2086424

Matthew Bisatt

Publication date: 25 October 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05720

zbMATH Keywords

hyperelliptic curvesroot numbers

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

Root numbers of 5-adic curves of genus two having maximal ramification

Cites Work

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• The local root number of elliptic curves with wild ramification
• Models of curves over discrete valuation rings
• Root numbers of abelian varieties
• Modèles minimaux des courbes de genre deux.
• Wild Galois representations: a family of hyperelliptic curves with large inertia image
• Explicit root numbers of abelian varieties
• Tate module and bad reduction
• A user's guide to the local arithmetic of hyperelliptic curves

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