Density of rational points on a quadric bundle in P 3 × P 3

We establish an asymptotic formula for the number of rational points of bounded anticanonical height which lie on a certain Zariski-dense subset of the biprojective hypersurface x 1 y 2 1 + ⋯ + x 4 y 2 4 = 0 in P 3 × P 3 . This confirms the modified Manin conjecture for this variety, in which the r...

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Bibliographic Details
Main Author: Browning, T
Format: Journal article
Language:English
Published: Duke University Press 2020