article
Sieving rational points on varieties
published
yes
Timothy D
Browning
author 35827D50-F248-11E8-B48F-1D18A9856A87
Daniel
Loughran
author
TiBr
department
An upper bound sieve for rational points on suitable varieties isdeveloped, together with applications tocounting rational points in thin sets,to local solubility in families, and to the notion of “friable” rational pointswith respect to divisors. In the special case of quadrics, sharper estimates areobtained by developing a version of the Selberg sieve for rational points.
American Mathematical Society2019
eng
Transactions of the American Mathematical Society
00029947
10886850
1705.01999
37185757-5785
T. D. Browning and D. Loughran, “Sieving rational points on varieties,” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 8, pp. 5757–5785, 2019.
Browning, Timothy D, and Daniel Loughran. “Sieving Rational Points on Varieties.” <i>Transactions of the American Mathematical Society</i> 371, no. 8 (2019): 5757–85.
Browning, T. D., & Loughran, D. (2019). Sieving rational points on varieties. <i>Transactions of the American Mathematical Society</i>, <i>371</i>(8), 5757–5785.
Browning TD, Loughran D. Sieving rational points on varieties. <i>Transactions of the American Mathematical Society</i>. 2019;371(8):5757-5785.
Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.
T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.
Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 8, American Mathematical Society, 2019, pp. 5757–85.
1752018-12-11T11:45:01Z2019-08-02T12:37:26Z