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Fleurs, arbres et cellules: un invariant galoisien pour une famille d'arbres

Published online by Cambridge University Press:  04 December 2007

Leonardo Zapponi
Leonardo Zapponi
Affiliation:
Université de Franche-Comté, Laboratoire de Mathématiques, 16, route de Gray, 25030 Besançon Cedex, France. E-mail: zapponi@math.univ-fcomte.fr
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Abstract

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This paper is principally concerned with the action of the absolute Galois group on a family of dessins d'enfants i.e. isomorphism classes of coverings of the projective line unramified outside three points. More precisely, we prove a generalisation of a conjecture proposed by Yu. Kotchetkov in 1997. The main tool used in this work is a correspondence between dessins d'enfants and ribbon graphs arising from the theory of Strebel differentials.

Keywords

covers of the projective linedessins d'enfantsmoduli spacesStrebel differentials
Type
Research Article
Information
Compositio Mathematica , Volume 122 , Issue 2 , June 2000 , pp. 113 - 133
Copyright
© 2000 Kluwer Academic Publishers