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
Any algebraic surface in ℙn(ℂ which is fibered in cubics, so that the generic fibre is a twisted cub...
Abstract. Let V be a plane smooth cubic curve over a finitely generated field k. The Mordell-Weil th...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
AbstractWe show that the number of nontrivial rational points of height at most B, which lie on the ...
This paper establishes an asymptotic formula with a power-saving error term for the number of ration...
AbstractLet S be a smooth cubic surface over a field K. It is well-known that new K-rational points ...
The Manin conjecture is established for a split singular cubic surface in Formula, with singularity ...
Let V be a nonsingular cubic surface defined over Q, let U be the open subset of V obtained by delet...
An improved asymptotic formula is established for the number of rational points of bounded height on...
We aim to count the number of rational points on cubic Châtelet surfaces. Our results provide eviden...
We prove that any smooth cubic surface defined over any number field satisfies the lower bound predi...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
\ua9 2015, Springer International Publishing AG. We count rational points of bounded height on the C...
A cubic surface in P 3 is given by a non-zero cubic homogeneous polynomial in 4 variables. Fixing ...
We obtain analogues of several recent bounds on the number of solutions of polynomial congruences mo...
Any algebraic surface in ℙn(ℂ which is fibered in cubics, so that the generic fibre is a twisted cub...
Abstract. Let V be a plane smooth cubic curve over a finitely generated field k. The Mordell-Weil th...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
AbstractWe show that the number of nontrivial rational points of height at most B, which lie on the ...
This paper establishes an asymptotic formula with a power-saving error term for the number of ration...
AbstractLet S be a smooth cubic surface over a field K. It is well-known that new K-rational points ...
The Manin conjecture is established for a split singular cubic surface in Formula, with singularity ...
Let V be a nonsingular cubic surface defined over Q, let U be the open subset of V obtained by delet...
An improved asymptotic formula is established for the number of rational points of bounded height on...
We aim to count the number of rational points on cubic Châtelet surfaces. Our results provide eviden...
We prove that any smooth cubic surface defined over any number field satisfies the lower bound predi...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
\ua9 2015, Springer International Publishing AG. We count rational points of bounded height on the C...
A cubic surface in P 3 is given by a non-zero cubic homogeneous polynomial in 4 variables. Fixing ...
We obtain analogues of several recent bounds on the number of solutions of polynomial congruences mo...
Any algebraic surface in ℙn(ℂ which is fibered in cubics, so that the generic fibre is a twisted cub...
Abstract. Let V be a plane smooth cubic curve over a finitely generated field k. The Mordell-Weil th...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
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