Titlebook: Dessins d‘Enfants on Riemann Surfaces; Gareth A. Jones,Jürgen Wolfart Book 2016 Springer International Publishing Switzerland 2016 Dessins

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https://doi.org/10.1007/978-3-662-03571-9rts, the curves with trivial automorphism group, quasiplatonic curves can be defined over their field of moduli. Many of the automorphism groups appearing in this chapter are 2-dimensional linear or projective groups over finite fields, so we summarise their most relevant properties in the final sec

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L. Infante,Steffen Mieske,M. Hilkernineteenth-century work on Riemann surfaces, algebraic curves and holomorphic functions, and twentieth-century research on regular maps, to the fundamental and far-reaching ideas circulated by Grothendieck in the 1980s, and subsequent efforts to implement his programme. After this we summarise the b

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The Evolution of Brightest Cluster Galaxiesn mapping theorem. We describe the classification of cocompact Fuchsian groups, and the local and global properties of quotients of the hyperbolic plane by such groups. We discuss the inclusion relations between these groups, classified by Singerman, giving particular attention to triangle groups. T

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Elisabeth Vangioni-Flam,Michel Casséunction fields. The latter examples provide a link between Galois groups and covering groups for regular coverings. Another important example is the absolute Galois group ., the automorphism group of the field of all algebraic numbers: as the projective limit of the (finite) Galois groups of the Gal

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