Introduction to Compact Riemann Surfaces and Dessins d'Enfants - Couverture souple

Livre 64 sur 83: London Mathematical Society Student Texts

Girondo, Ernesto

 
9780521740227: Introduction to Compact Riemann Surfaces and Dessins d'Enfants

Synopsis

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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À propos des auteurs

Ernesto Girondo is Profesor Titular de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid.

Gabino González-Diez is Catedrático de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780521519632: Introduction to Compact Riemann Surfaces and Dessins d’Enfants

Edition présentée

ISBN 10 :  0521519632 ISBN 13 :  9780521519632
Editeur : Cambridge University Press, 2011
Couverture rigide