Dessins d'Enfants And Normalization Curve
by
Natalia Amburg
Institute of Theoretical and Experimental Physics, Moscow, Russia

In his classical work [1] A. Grothendieck put forward a theory of dessins d'enfannts. In particular, the equivalence between categories of dessins d'enfannts and Belyi pairs establishes an approach to a visualization of smooth irreducible algebraic curve over number fields. In the present work we introduce dessins d'enfannts and Belyi function defined on reducible or singular curve. We visualize the normalization curve using the method of dessins d'enfannts.

[1] Grothendiek, A: Esquisse d'un programme. London Math. Soc. Lecture Notes Series 243. Cambridge Univ. Press, (1997) 3-43

Date received: January 31, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cake-44.