Few books on the subject of Riemann surfaces cover the relatively
modern theory of dessins d'enfants (children's drawings), which was
launched by Grothendieck in the 1980s and is now an active field of
research. In this 2011 book, the authors begin with an elementary
account of the theory of compact Riemann surfaces viewed as
algebraic curves and as quotients of the hyperbolic plane by the
action of Fuchsian groups of finite type. They then use this
knowledge to introduce the reader to the theory of dessins
d'enfants and its connection with algebraic curves defined over
number fields. A large number of worked examples are provided to
aid understanding, so no experience beyond the undergraduate level
is required. Readers without any previous knowledge of the field of
dessins d'enfants are taken rapidly to the forefront of current
research.
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