The Grothendieck Theory of Dessins D'enfants

The Grothendieck Theory of Dessins D'enfants

eBook - 1994
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Cambridge Univ Pr
The focus of this book is on combinatorial objects, dessins d'enfants, which are drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The articles contained here unite basic elements of the subject with recent advances. Topics covered include: the explicity association of algebraic curves to dessins, the study of the action of the Galois group on the dessins, computation and combinatorics, relations with modular forms, geometry, generating functions, TeichmÜller and moduli spaces. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book.
The various articles here unite all of the basics of the study of dessins d'enfants as well as the most recent advances.

Publisher: Cambridge ; New York : Cambridge University Press, 1994
ISBN: 9781107362130
Characteristics: 1 online resource (368 pages) : illustrations
Additional Contributors: Schneps, Leila


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