Zeros of Pairs of Quadratic Forms
Number Theory
2013-04-16 v1
Abstract
We prove the Hasse principle and weak approximation for varieties defined over number fields by the nonsingular intersection of pairs of quadratic forms in 8 variables. The argument develops work of Colliot-Thelene, Sansuc and Swinnerton-Dyer, and centres on a purely local problem about forms which split off 3 hyperbolic planes.
Keywords
Cite
@article{arxiv.1304.3894,
title = {Zeros of Pairs of Quadratic Forms},
author = {D. R. Heath-Brown},
journal= {arXiv preprint arXiv:1304.3894},
year = {2013}
}