Quasiplatonic curves with symmetry group Z22⋊Zm are definable over Q

DOI10.1112/blms.12014zbMath1390.14080arXiv1604.00702OpenAlexW3125430547MaRDI QIDQ5357058

Sebastián Reyes-Carocca, Leslie Jimenez, Saúl Quispe, Rubén A. Hidalgo

Publication date: 13 September 2017

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00702

zbMATH Keywords

Riemann surfacesBelyi pairdessin d'enfantquasiplatonic curvesBelyi curve

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Compact Riemann surfaces and uniformization (30F10) Coverings of curves, fundamental group (14H30) Riemann surfaces; Weierstrass points; gap sequences (14H55) Automorphisms of curves (14H37)

Related Items (12)

On large prime actions on Riemann surfaces ⋮ On Riemann surfaces of genus \(g\) with \(4g-4\) automorphisms ⋮ A database of group actions on Riemann surfaces ⋮ On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms ⋮ On \(pq\)-fold regular covers of the projective line ⋮ Riemann surfaces of genus \(1+q^2\) with \(3q^2\) automorphisms ⋮ On families of Riemann surfaces with automorphisms ⋮ A note on large automorphism groups of compact Riemann surfaces ⋮ On Jacobians with group action and coverings ⋮ A note on Jacobians of quasiplatonic Riemann surfaces with complex multiplication ⋮ Groups of automorphisms of Riemann surfaces and maps of genus p + 1 where p is prime ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

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