Affine congruences and rational points on a certain cubic surface

We establish estimates for the number of solutions of certain affine congruences. These estimates are then used to prove Manin's conjecture for a cubic surface split over Q whose singularity type is D-4. This improves on a result of Browning and answers a problem posed by Tschinkel.


Published in:
Algebra & Number Theory, 8, 5, 1259-1296
Year:
2014
Publisher:
Berkeley, Mathematical Science Publ
ISSN:
1937-0652
Keywords:
Laboratories:




 Record created 2014-12-30, last modified 2018-09-13


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