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

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

2007-09-07

arxiv.org/abs/0709.0999v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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