Zeros of Pairs of Quadratic Forms

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.

References in corpus (1)

• Simultaneous Integer Values of Pairs of Quadratic Forms

Cited by in corpus (1)

• Quadratic forms and systems of forms in many variables