Sur le nombre des points rationnels de hauteur borné des variétés algébriques

1990/03/01 by V. V. Batyrev, Victor V. Batyrev, Yu. I. Manin · 15 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Mathematics and Applications #Polynomial and algebraic computation

paper · doi:10.1007/bf01453564

Citations

• Rational points of bounded height on Fano varieties

Cited by

• Hauteurs et mesures de Tamagawa sur les variétés de Fano
• Rational curves on del Pezzo surfaces in positive characteristic
• Campana points on biequivariant compactifications of the Heisenberg group
• Geometric aspects of Manin's Conjecture
• Lines, conics, and all that
• Equidistribution of rational points and the geometric sieve for toric varieties
• Integral Points on Elliptic Curves and the Bombieri-Pila Bounds
• Integral points of bounded height on toric varieties
• Local distribution of rational points in flag varieties
• Zero-loci of Brauer group elements on semi-simple algebraic groups
• Homological stability and weak approximation
• Counting points on Hilb^mℙ² over function fields
• Counting points on a family of degree one del Pezzo surfaces
• Rational points on varieties defined by multihomogeneous diagonal forms
• The Batyrev-Tschinkel conjecture for a non-normal cubic surface and its symmetric square