Classification of Toric log Del Pezzo Surfaces having Picard Number 1 and Index $\le 3$

Dais, Dimitrios I.

Classification of Toric log Del Pezzo Surfaces having Picard Number 1 and Index $\le 3$

Authors

Description

Toric log Del Pezzo surfaces with Picard number 1 have been completely classified whenever their index is $\le 2$: In this paper we extend the classification for those having index 3: We prove that, up to isomorphism, there are exactly 18 surfaces of this kind.