Sieving rational points on varieties

Tim Browning, Daniel Loughran

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)
223 Downloads (Pure)


A sieve for rational points on suitable varieties is developed, together with applications to counting rational points in thin sets, the number of varieties in a family which are everywhere locally soluble, and to the notion of friable rational points with respect to divisors. In the special case of quadrics, sharper estimates are obtained by developing a version of the Selberg sieve for rational points.
Original languageEnglish
Number of pages29
JournalTransactions of the American Mathematical Society
Early online date18 Sep 2018
Publication statusE-pub ahead of print - 18 Sep 2018


  • math.NT
  • 14D10
  • 14G05
  • 11N36
  • 11P55


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