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arXiv · 0902.1765

Weak Approximation for Low Degree del Pezzo Surfaces

Chenyang Xu
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Abstract

Let $K = K(C)$ be the function field of a smooth curve $C$. Applying the result of [Xu08], we prove that if $S/K$ is a degree one or two del Pezzo surface which can be completed to a generic family in the parametrizing space over $C$, then weak approximation holds at every place $c \in C$.

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Chenyang Xu. 2009-02-10. Weak Approximation for Low Degree del Pezzo Surfaces. https://arxiv.org/abs/0902.1765

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