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http://dx.doi.org/10.4134/JKMS.2014.51.4.867

ON THE ORBIFOLD EULER CHARACTERISTIC OF LOG DEL PEZZO SURFACES OF RANK ONE  

Hwang, DongSeon (Department of Mathematics Ajou University)
Publication Information
Journal of the Korean Mathematical Society / v.51, no.4, 2014 , pp. 867-879 More about this Journal
Abstract
It is known that the orbifold Euler characteristic $e_{orb}(S)$ of a log del Pezzo surface S of rank one satisfies the inequality $0{\leq}e_{orb}(S){\leq}3$. In this note, we show that the orbifold Euler characteristic of S is strictly positive, i.e., 0 < $e_{orb}(S)$. Moreover, we also show, by construction, the existence of log del Pezzo surfaces of rank one with arbitrarily small orbifold Euler characteristic.
Keywords
log del Pezzo surface of rank one; orbifold Euler characteristic;
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