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arXiv · 2005.14544

On rank one log del Pezzo surfaces in characteristic different from two and three

Justin Lacini
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Abstract

We classify all log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic different from two and three. We also discuss some consequences of the classification. For example, we show that log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic higher than five admit a log resolution that lifts to characteristic zero over a smooth base.

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Justin Lacini. 2021-09-14. On rank one log del Pezzo surfaces in characteristic different from two and three. https://arxiv.org/abs/2005.14544

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