Abstract
An upper bound sieve for rational points on suitable varieties is developed, together with applications to counting rational points in thin sets, to local solubility in families, 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 language | English |
|---|---|
| Pages (from-to) | 5757-5785 |
| Number of pages | 29 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 371 |
| Issue number | 8 |
| Early online date | 18 Sept 2018 |
| DOIs | |
| Publication status | E-pub ahead of print - 18 Sept 2018 |