Hyperelliptic curves over 𝔽₂ of every 2-rank without extra automorphisms

DOI10.1090/S0002-9939-05-08294-8zbMath1111.14022arXivmath/0608156OpenAlexW2026323022MaRDI QIDQ5705539

Hui June Zhu

Publication date: 9 November 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608156

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (5)

The \(p\)-rank stratification of Artin-Schreier curves ⋮ Curves in characteristic \(2\) with non-trivial \(2\)-torsion ⋮ Curves of given \(p\)-rank with trivial automorphism group ⋮ THE 2-RANKS OF HYPERELLIPTIC CURVES WITH EXTRA AUTOMORPHISMS ⋮ THE p-TORSION OF CURVES WITH LARGE p-RANK

Cites Work

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• Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. I: Eine Abschätzung der Ordnung der Automorphismengruppe
• Hyperelliptic Jacobians without complex multiplication in positive characteristic

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