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

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