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arXiv · 1808.05396

Equivariant birational geometry of quintic del Pezzo surface

Jonas Wolter
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Abstract

In this paper we prove that there are exactly two $G$-minimal surfaces which are $G$-birational to the quintic del Pezzo surface, where $G \cong C_5 \rtimes C_4$. These surfaces are the quintic del Pezzo surface itself and the surface $\mathbb{P}^1 \times \mathbb{P}^1$.

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Jonas Wolter. 2018-08-16. Equivariant birational geometry of quintic del Pezzo surface. https://doi.org/10.1007/s40879-018-0272-7

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