English

On the arithmetic of del Pezzo surfaces of degree 2

Algebraic Geometry 2007-05-23 v1 Number Theory

Abstract

We study the arithmetic of certain del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2- and 4-torsion elements in the Brauer group.

Keywords

Cite

@article{arxiv.math/0402373,
  title  = {On the arithmetic of del Pezzo surfaces of degree 2},
  author = {Andrew Kresch and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:math/0402373},
  year   = {2007}
}

Comments

24 pages, to appear in Proc. London Math. Soc