Integral points on conic log K3 surfaces

Yonatan Harpaz

Integral points on conic log K3 surfaces

Algebraic Geometry 2017-03-16 v2 Number Theory

Authors: Yonatan Harpaz

Abstract

Adapting a powerful method of Swinnerton-Dyer, we give explicit sufficient conditions for the existence of integral points on certain schemes which are fibered into affine conics. This includes, in particular, cases where the scheme is geometrically a smooth log K3 surface. To the knowledge of the author, this is the first family of log K3 surfaces for which such conditions are established.

Keywords

algebraic surfaces surfaces and embeddings

Cite

@article{arxiv.1511.04876,
  title  = {Integral points on conic log K3 surfaces},
  author = {Yonatan Harpaz},
  journal= {arXiv preprint arXiv:1511.04876},
  year   = {2017}
}