Introduction to Compact Riemann Surfaces and Dessins - download pdf or read online

By Ernesto Girondo,Gabino González-Diez

ISBN-10: 0521519632

ISBN-13: 9780521519632

ISBN-10: 0521740223

ISBN-13: 9780521740227

Few books just about Riemann surfaces hide the particularly glossy idea of dessins d'enfants (children's drawings), which used to be introduced by means of Grothendieck within the Eighties and is now an lively box of analysis. during this e-book, the authors start with an uncomplicated account of the idea of compact Riemann surfaces seen as algebraic curves and as quotients of the hyperbolic aircraft via the motion of Fuchsian teams of finite variety. They then use this data to introduce the reader to the idea of dessins d'enfants and its reference to algebraic curves outlined over quantity fields. a lot of labored examples are supplied to help knowing, so no event past the undergraduate point is needed. Readers with none prior wisdom of the sphere of dessins d'enfants are taken speedily to the vanguard of present research.

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Introduction to Compact Riemann Surfaces and Dessins d-Enfants (London Mathematical Society Student Texts, 79) by Ernesto Girondo,Gabino González-Diez

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