Abstract. For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle struc-tures over k. Content
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
For any $n \geq 2$, let $F \in \mathbb{Z}[x_1,\ldots,x_n]$ be a form of degree $d\geq 2$, which prod...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
An improved asymptotic formula is established for the number of rational points of bounded height on...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We give upper bounds for the number of rational points of bounded height on the complement of the li...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
Abstract. We discuss the problem of existence of rational curves on a certain del Pezzo surface from...
We aim to count the number of rational points on cubic Châtelet surfaces. Our results provide eviden...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
Among geometrically rational surfaces, del Pezzo surfaces of degree two over a field k containing at...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
For any $n \geq 2$, let $F \in \mathbb{Z}[x_1,\ldots,x_n]$ be a form of degree $d\geq 2$, which prod...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
An improved asymptotic formula is established for the number of rational points of bounded height on...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We give upper bounds for the number of rational points of bounded height on the complement of the li...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
Abstract. We discuss the problem of existence of rational curves on a certain del Pezzo surface from...
We aim to count the number of rational points on cubic Châtelet surfaces. Our results provide eviden...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
Among geometrically rational surfaces, del Pezzo surfaces of degree two over a field k containing at...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
For any $n \geq 2$, let $F \in \mathbb{Z}[x_1,\ldots,x_n]$ be a form of degree $d\geq 2$, which prod...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...