3 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
Fullerenes and Belyi functions
Nikolai M. Adrianov, George B. Shabat
The paper is an attempt to apply the theory of dessins d'enfants to the theory of fullerenes. The classical results concerning the calculation of the dodecahedron Belyi function ar…
Belyi pairs in the critical filtrations of Hurwitz spaces
George Shabat
The \it critical filtration \rm of a Hurwitz space stratifies it according to the number of the critical values; the \it Belyi pairs \rm (three critical values) are considered as t…
Poincare polynomial for the moduli space and the number of points in
N. Amburg, E. Kreines, G. Shabat
We obtain a combinatorial proof that the number of points of the space satisfies the recurrent formula for Poincare polynomials of th…
On the three-term curves
George B. Shabat, Alexei Sleptsov
We classify projective plane nonsingular curves admitting a 3-term presentation; they exist in any degree, generally constitute 5 birational families and are defined over rational…
On the Chekhov-Fock coordinates of dessins d'enfants
G. Shabat, V. Zolotarskaia
There are several ways to associate a complex structure to a ribbon graph. In the construction of dessins d'enfants a single riemann surface is associated to each graph. We call it…