scientific article

zbMath1214.11079MaRDI QIDQ3434821

Wolfart, Jürgen

Publication date: 3 May 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Compact Riemann surfaces and uniformization (30F10) Planar graphs; geometric and topological aspects of graph theory (05C10) Coverings of curves, fundamental group (14H30) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Riemann surfaces; Weierstrass points; gap sequences (14H55) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32) Dessins d'enfants theory (14H57)

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Regular Dessins with Abelian Automorphism Groups ⋮ From hyperelliptic to superelliptic curves ⋮ The absolute Galois group acts faithfully on regular dessins and on Beauville surfaces ⋮ p-Groups acting on Riemann surfaces ⋮ Coxeter groups as Beauville groups ⋮ On the existence of branched coverings between surfaces with prescribed branch data. I ⋮ Algebraic curves uniformized by congruence subgroups of triangle groups ⋮ Galois action on families of generalised Fermat curves ⋮ On large prime actions on Riemann surfaces ⋮ A remark on the field of moduli of Riemann surfaces ⋮ Quadrangular \(\mathbb{Z}_p^l\)-actions on Riemann surfaces ⋮ Non-homeomorphic Galois conjugate Beauville structures on \(\mathrm{PSL}(2,p)\). ⋮ Regular dessins d'enfants with field of moduli Q(p√2) ⋮ Shimura curves with many uniform dessins ⋮ Hypermaps and multiply quasiplatonic Riemann surfaces ⋮ On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms ⋮ Beauville surfaces and finite groups ⋮ Riemann surfaces defined over the reals ⋮ Arbitrarily large Galois orbits of non-homeomorphic surfaces ⋮ About the Fricke-Macbeath curve ⋮ On the field of moduli of superelliptic curves ⋮ True trees are dense ⋮ Surface branched covers and geometric 2-orbifolds ⋮ Weil’s Galois descent theorem from a computational point of view ⋮ Field of moduli of generalized Fermat curves of type \((k, 3)\) with an application to non-hyperelliptic dessins d'enfants

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