Introduction to compact Riemann surfaces and dessins d'enfants

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...

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Detalles Bibliográficos
Otros Autores: Girondo, Ernesto, autor (autor), González-Diez, Gabino, autor
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press 2012.
Colección:CUP ebooks.
London Mathematical Society student texts ; 79.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b45423714*spi
Descripción
Sumario: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.
Descripción Física:1 recurso electrónico (xii, 298 páginas)
Formato:Forma de acceso: World Wide Web.
ISBN:9781139048910