Counting rational points on smooth cyclic covers

A conjecture of Serre concerns the number of rational points of bounded height on a finite cover of projective space Pn-1. In this paper, we achieve Serre's conjecture in the special case of smooth cyclic covers of any degree when n≥ 10, and surpass it for covers of degree r≥ 3 when n> 1...

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Bibliographic Details
Main Authors: Heath-Brown, D, Pierce, L
Format: Journal article
Language:English
Published: 2012