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math.NT2014
Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques
Teddy Mignot
We demonstrate the Batyrev-Manin Conjecture for the number of points of bounded height on hypersurfaces of some toric varieties whose rank of the Picard group is 2. The method used…
math.NT2014
Points de hauteur bornée sur les hypersurfaces lisses de l'espace triprojectif
Teddy Mignot
We prove Batyrev/Manin conjecture for the number of points of bounded height on some smooth hypersurfaces of the triprojective space of tridegree (1,1,1). The constant appearing in…
math.NT2014
Points de hauteur bornée sur les hypersurfaces de l'espace triprojectif
Teddy Mignot
We establish an asymptotic formula for the number of points of bounded height on a singular hypersurface of the triprojective space. We will see that the final result is in accorda…