Skip to content
Register Sign in Wishlist
The Grothendieck Theory of Dessins d'Enfants

The Grothendieck Theory of Dessins d'Enfants

$117.00 (C)

Part of London Mathematical Society Lecture Note Series

B. Birch, L. Schneps, J-M. Couveignes, L. Granboulan, G. Jones, D. Singerman, G. Malle, G. Shabat, M. Bauer, C. Itzykson, P. Cohen, Y. Ihara, K. Saito, M. Emsalem, P. Lochak, P. Degiovanni
View all contributors
  • Date Published: September 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521478212

$ 117.00 (C)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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.

    • This material is unavailable elsewhere
    • Up-to-the-minute results
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: September 1994
    • format: Paperback
    • isbn: 9780521478212
    • length: 380 pages
    • dimensions: 228 x 152 x 24 mm
    • weight: 0.615kg
    • availability: Available
  • Table of Contents

    1. Noncongruence subgroups, covers, and drawings B. Birch
    2. Dessins d'enfant on the Riemann sphere L. Schneps
    3. Dessins from a geometric point of view J-M. Couveignes and L. Granboulan
    4. Maps, hypermaps and triangle groups G. Jones and D. Singerman
    5. Fields of definition of some three point ramified field extensions G. Malle
    6. On the classification of plane trees by their Galois orbit G. Shabat
    7. Triangulations M. Bauer and C. Itzykson
    8. Dessins d'enfant and Shimura varieties P. Cohen
    9. Horizontal divisors on arithmetic surfaces associated with Belyi uniformizations Y. Ihara
    10. Algebraic representation of the Teichmüller spaces K. Saito
    11. On the embedding of Gal(Q/Q) into GT Y. Ihara
    Appendix M. Emsalem and P. Lochak
    12. The Grothendieck–Teichmüller group and automorphisms of braid groups P. Lochak and L. Schneps
    13. Moore and Seiberg equations, topological field theories and Galois theory P. Degiovanni.

  • Author

    Leila Schneps, Université de Paris I


    B. Birch, L. Schneps, J-M. Couveignes, L. Granboulan, G. Jones, D. Singerman, G. Malle, G. Shabat, M. Bauer, C. Itzykson, P. Cohen, Y. Ihara, K. Saito, M. Emsalem, P. Lochak, P. Degiovanni

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.