Counting rational points on smooth cyclic covers

Counting rational points on smooth cyclic covers

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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...

书目详细资料
Main Authors:	Heath-Brown, D, Pierce, L
格式:	Journal article
语言:	English
出版:	2012

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