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arXiv · 2501.08126

Classification of non-$F$-split del Pezzo surfaces of degree $1$

Gebhard Martin·Réka Wagener
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Abstract

Using Fedder's criterion, we classify all non-$F$-split del Pezzo surfaces of degree $1$. We give a necessary and sufficient criterion for the $F$-splitting of such del Pezzo surfaces in terms of their anti-canonical system.

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Gebhard Martin, Réka Wagener. 2025-01-14. Classification of non-$F$-split del Pezzo surfaces of degree $1$. https://arxiv.org/abs/2501.08126

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