Rational points on singular intersections of quadrics

Abstract

Given a projective intersection of two quadrics X in at least 9 variables, the quantitative behaviour of the rational points on X is investigated under the assumption that X contains a pair of conjugate singular points defined over the Gaussians.

41 pages; substantially revised version

Cited by in corpus (1)

• The circle method and bounds for $L$-functions - II: Subconvexity for twists of GL(3) $L$-functions