Add to ORKGManin's conjecture for the asymptotic behavior of the number of rational points of bounded height on del Pezzo surfaces can be approached through universal torsors. We prove several auxiliary results for the estimation of the number of integral points in certain regions on universal torsors. As an application, we prove Manin's conjecture for a singular quartic del Pezzo surfac
Dans cette thèse, nous étudions les conjectures de Manin et Peyre pour plusieursclasses de variétés ...
Wir untersuchen die Geometrie und Arithmetik von Del-Pezzo-Flächen. Wichtige Beispiele si...
This thesis comes in four parts, which can be read independently of each other. In the first chapter...
A conjecture of Manin predicts the distribution of rational points on Fano varieties. We provide a f...
We prove Manin's conjecture for four singular quartic del Pezzo surfaces over imaginary quadratic nu...
In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we...
A conjecture of Manin’s relates the number of rational points of bounded height on Fano varieties wi...
An improved asymptotic formula is established for the number of rational points of bounded height on...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type ...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We prove that the number of rational points of bounded height on certain del Pezzo surfaces of degre...
Abstract. For any number field k, upper bounds are established for the number of k-rational points o...
Using recent work of the first author [S. Bettin, High moments of the Estermann function. Algebra Nu...
The Manin conjecture is established for a split singular cubic surface in Formula, with singularity ...
Dans cette thèse, nous étudions les conjectures de Manin et Peyre pour plusieursclasses de variétés ...
Wir untersuchen die Geometrie und Arithmetik von Del-Pezzo-Flächen. Wichtige Beispiele si...
This thesis comes in four parts, which can be read independently of each other. In the first chapter...
A conjecture of Manin predicts the distribution of rational points on Fano varieties. We provide a f...
We prove Manin's conjecture for four singular quartic del Pezzo surfaces over imaginary quadratic nu...
In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we...
A conjecture of Manin’s relates the number of rational points of bounded height on Fano varieties wi...
An improved asymptotic formula is established for the number of rational points of bounded height on...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type ...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We prove that the number of rational points of bounded height on certain del Pezzo surfaces of degre...
Abstract. For any number field k, upper bounds are established for the number of k-rational points o...
Using recent work of the first author [S. Bettin, High moments of the Estermann function. Algebra Nu...
The Manin conjecture is established for a split singular cubic surface in Formula, with singularity ...
Dans cette thèse, nous étudions les conjectures de Manin et Peyre pour plusieursclasses de variétés ...
Wir untersuchen die Geometrie und Arithmetik von Del-Pezzo-Flächen. Wichtige Beispiele si...
This thesis comes in four parts, which can be read independently of each other. In the first chapter...