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arXiv · 2012.09405

Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three

Tatsuro Kawakami·Masaru Nagaoka
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Abstract

In this paper, we classify Du Val del Pezzo surfaces of Picard rank one in characteristic two and three. We also show that if a Du Val del Pezzo surface is Frobenius split, then a general anti-canonical member is smooth. Furthermore, in characteristic two, it is an ordinary elliptic curve.

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Tatsuro Kawakami, Masaru Nagaoka. 2020-12-17. Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three. https://arxiv.org/abs/2012.09405

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