SOME SPECIAL FAMILIES OF HYPERELLIPTIC CURVES

DOI10.1142/S0219498804000745zbMath1080.14034arXivmath/0601399OpenAlexW2963760598MaRDI QIDQ5315540

Tanush Shaska

Publication date: 8 September 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601399

zbMATH Keywords

automorphism groupinvariants of a binary form

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Computational aspects of algebraic curves (14Q05) Automorphisms of curves (14H37)

Related Items (8)

Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties ⋮ Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing \(\mathbf{C}_6\) ⋮ On calculation of the group of automorphisms of hyperelliptic curves ⋮ Hyperelliptic Curves with Extra Involutions ⋮ New examples of maximal curves with low genus ⋮ Hyperelliptic curves with reduced automorphism group \(A_{5}\) ⋮ On cyclic covers of the projective line ⋮ On automorphisms of algebraic curves

Uses Software

• GAP

Cites Work

• Die Automorphismengruppen hyperelliptischer Kurven. (The groups of automorphisms of hyperelliptic curves)
• The inverse Galois problem and rational points on moduli spaces
• The full automorphism groups of hyperelliptic Riemann surfaces
• Curves of genus 2 with \((N,N)\) decomposable Jacobians

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