Sieving rational points on varieties

Tim Browning, Daniel Loughran

Research output: Contribution to journalArticle (Academic Journal)

1 Citation (Scopus)
227 Downloads (Pure)

Abstract

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
DOIs
Publication statusE-pub ahead of print - 18 Sep 2018

Keywords

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

Fingerprint Dive into the research topics of 'Sieving rational points on varieties'. Together they form a unique fingerprint.

  • Projects

    Between rational and integral points

    Browning, T. D.

    1/11/171/09/18

    Project: Research

    Cite this