Density of rational points on a certain smooth bihomogeneous threefold

Abstract

We establish sharp upper and lower bounds for the number of rational points of bounded anticanonical height on a smooth bihomogeneous threefold defined over Q and of bidegree (1, 2). These bounds are in agreement with Manin's conjecture.

References in corpus (2)

• Manin's conjecture for certain biprojective hypersurfaces
• Bihomogeneous forms in many variables

Cited by in corpus (2)

• Height of rational points on quadratic twists of a given elliptic curve
• Manin's conjecture for certain biprojective hypersurfaces