Hyperelliptic curves with many automorphisms

DOI10.1142/S1793042122500488WikidataQ114071917 ScholiaQ114071917MaRDI QIDQ5863782

Nicolas Muller, Richard Pink

Publication date: 3 June 2022

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

Full work available at URL: https://arxiv.org/abs/1711.06599

zbMATH Keywords

automorphismscomplex multiplicationalgebraic curveshyperelliptic

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Complex multiplication and abelian varieties (14K22) Automorphisms of curves (14H37)

Related Items (1)

From hyperelliptic to superelliptic curves

Uses Software

• GAP
• PARI/GP
• SageMath

Cites Work

• Hyperelliptic curves with reduced automorphism group \(A_{5}\)
• Die Automorphismengruppen hyperelliptischer Kurven. (The groups of automorphisms of hyperelliptic curves)
• Formelle Standardmodelle hyperelliptischer Kurven
• On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations
• The Structure of Galois Groups of CM-Fields
• Subvarieties of the hyperelliptic moduli determined by group actions
• Computing the geometric endomorphism ring of a genus-2 Jacobian
• Period matrices and representation theory
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