Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group
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Publication:2796030
DOI10.1090/mcom3032zbMath1343.14047arXiv1301.0695OpenAlexW2017591519MaRDI QIDQ2796030
Christophe Ritzenthaler, Jeroen Sijsling, Reynald Lercier
Publication date: 23 March 2016
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.0695
Arithmetic ground fields for curves (14H25) Families, moduli of curves (algebraic) (14H10) Actions of groups on commutative rings; invariant theory (13A50) Computational aspects of algebraic curves (14Q05) Automorphisms of curves (14H37)
Related Items (12)
Computing twists of hyperelliptic curves ⋮ On explicit descent of marked curves and maps ⋮ Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects ⋮ Automorphism groups of pseudoreal Riemann surfaces ⋮ A remark on the field of moduli of Riemann surfaces ⋮ Algorithms for fundamental invariants and equivariants of finite groups ⋮ Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing \(\mathbf{C}_6\) ⋮ Cubic function fields with prescribed ramification ⋮ On the field of moduli of superelliptic curves ⋮ Plane model-fields of definition, fields of definition, and the field of moduli for smooth plane curves ⋮ Plane quartics over $\mathbb {Q}$ with complex multiplication ⋮ The weighted moduli space of binary sextics
Uses Software
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