Cascades of toric log del Pezzo surfaces of Picard number one

DongSeon Hwang

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arXiv · 2012.13428

Cascades of toric log del Pezzo surfaces of Picard number one

DongSeon Hwang

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Abstract

We classify toric log del Pezzo surfaces of Picard number one by introducing the notion, cascades. As an application, we show that if such a surface is K\"ahler-Einstein, then it should admit a special cascade, and it satisfies the equality of the orbifold Bogomolov-Miyaoka-Yau inequality, i.e., $K^2 = 3e_{orb}.$

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DongSeon Hwang. 2020-12-24. Cascades of toric log del Pezzo surfaces of Picard number one. https://arxiv.org/abs/2012.13428

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