THE 2-RANKS OF HYPERELLIPTIC CURVES WITH EXTRA AUTOMORPHISMS

DOI10.1142/S1793042109002468zbMath1253.11067arXivmath/0606113OpenAlexW2169495472MaRDI QIDQ3395928

Darren Glass

Publication date: 15 September 2009

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

Full work available at URL: https://arxiv.org/abs/math/0606113

zbMATH Keywords

Hyperelliptic curvesp-ranks, wild ramification, automorphisms of curves

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Automorphisms of curves (14H37) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

A FROBENIUS QUESTION RELATED TO ACTIONS ON CURVES IN CHARACTERISTIC P

Cites Work

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• Die Automorphismengruppen hyperelliptischer Kurven. (The groups of automorphisms of hyperelliptic curves)
• Idempotent relations and factors of Jacobians
• The p-rank of Artin-Schreier curves
• The group of automorphisms of cyclic extensions of rational function fields
• Fibre products of Artin-Schreier curves and generalized Hamming weights of codes
• Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. II: Ein spezieller Typ von Funktionenkörpern
• Hyperelliptic curves with prescribed \(p\)-torsion
• automorphism groups for p-cyclic covers of the affine line
• Hyperelliptic curves over 𝔽₂ of every 2-rank without extra automorphisms

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