ON THE ORBIFOLD EULER CHARACTERISTIC OF LOG DEL PEZZO SURFACES OF RANK ONE Hwang, DongSeon;
It is known that the orbifold Euler characteristic of a log del Pezzo surface S of rank one satisfies the inequality . In this note, we show that the orbifold Euler characteristic of S is strictly positive, i.e., 0 < . Moreover, we also show, by construction, the existence of log del Pezzo surfaces of rank one with arbitrarily small orbifold Euler characteristic.
log del Pezzo surface of rank one;orbifold Euler characteristic;
G. N. Belousov, Del Pezzo surfaces with log terminal singularities, Math. Notes 83 (2008), no. 1-2, 152-161.