Poincaré Polynomial of the Space \overline{{\mathcal M}_{0,n}}({\mathbb C}) and the Number of Points of the Space \overline{{\mathcal M}_{0,n}}({\mathbb F}_q) / N. Ya. Amburg, E. M. Kreines, and G. B. Shabat. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 4. P. 20-27 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 154-160].

A combinatorial proof that the number of points of the space \overline{{\mathcal M}_{0,n}}({\mathbb F}_q) satisfies the recurrent formula for the Poincaré polynomials of the space \overline{{\mathcal M}_{0,n}}({\mathbb C}) is obtained.

Key words: moduli space, Poincare polynomial, finite field.

№ 4/2017