Weak Approximation for Low Degree del Pezzo Surfaces

Details Weak Approximation for Low Degree del Pezzo Surfaces Weak Approximation for Low Degree del Pezzo Surfaces

2009-02-10

arxiv.org/abs/0902.1765v2

Mathematics

Algebraic Geometry

13 Pages, 8 figures

Scientific paper

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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