Rational points on twisted K3 surfaces and derived equivalences

Kenneth Ascher; Krishna Dasaratha; Alexander Perry; Rong Zhou

Rational points on twisted K3 surfaces and derived equivalences

Number Theory 2016-07-21 v2 Algebraic Geometry

Authors: Kenneth Ascher , Krishna Dasaratha , Alexander Perry , Rong Zhou

Abstract

Using a construction of Hassett--V\'arilly-Alvarado, we produce derived equivalent twisted K3 surfaces over $\mathbb{Q}$ , $\mathbb{Q}_2$ , and $\mathbb{R}$ , where one has a rational point and the other does not. This answers negatively a question recently raised by Hassett and Tschinkel.

Keywords

algebraic surfaces

Cite

@article{arxiv.1506.01374,
  title  = {Rational points on twisted K3 surfaces and derived equivalences},
  author = {Kenneth Ascher and Krishna Dasaratha and Alexander Perry and Rong Zhou},
  journal= {arXiv preprint arXiv:1506.01374},
  year   = {2016}
}

Comments

To appear in the proceedings volume for the AIM conference "Brauer groups and obstruction problems: moduli spaces and arithmetic"

Rational points on twisted K3 surfaces and derived equivalences

Abstract

Keywords

Cite

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