Weak Approximation for Low Degree del Pezzo Surfaces

Chenyang Xu

Weak Approximation for Low Degree del Pezzo Surfaces

Algebraic Geometry 2011-05-17 v2

Authors: Chenyang Xu

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 $c \in C$ .

Keywords

del pezzo surfaces weak convergence algebraic curves

Cite

@article{arxiv.0902.1765,
  title  = {Weak Approximation for Low Degree del Pezzo Surfaces},
  author = {Chenyang Xu},
  journal= {arXiv preprint arXiv:0902.1765},
  year   = {2011}
}

Comments

13 Pages, 8 figures

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