International audienceWe count rational points of bounded height on the non-normal senary quartic hypersurface x 4 = (y 2 1 + · · · + y 2 4)z 2 in the spirit of Manin's conjecture
Motivated by a recent question of Peyre, we apply the Hardy–Littlewood circle method to count “suffi...
International audienceIn this note, we establish an asymptotic formula with a power-saving error ter...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
International audienceWe count rational points of bounded height on the non-normal senary quartic hy...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
Using the circle method, we count integer points on complete intersections in biprojective space in ...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined ov...
We establish an asymptotic formula for the number of rational points of bounded anticanonical height...
This is joint work with Tim Browning. The talk concerns the variety $X_1Y_1^2+X_2Y_2^2+X_3Y_3^2+X_4Y...
We study the number of representations of an integer n=F(x) by a homogeneous form in sufficiently ma...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
We prove Manin's conjecture for four singular quartic del Pezzo surfaces over imaginary quadratic nu...
Let F(x) =F[x1,...,xn]∈ℤ[x1,...,xn] be a non-singular form of degree d≥2, and let N(F, X)=#{xεℤ n ;F...
For any n ≧ 2, let F ε ℤ[x1, . . . , xn] be a form of degree d ≧ 2, which produces a geometrically i...
Motivated by a recent question of Peyre, we apply the Hardy–Littlewood circle method to count “suffi...
International audienceIn this note, we establish an asymptotic formula with a power-saving error ter...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
International audienceWe count rational points of bounded height on the non-normal senary quartic hy...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
Using the circle method, we count integer points on complete intersections in biprojective space in ...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined ov...
We establish an asymptotic formula for the number of rational points of bounded anticanonical height...
This is joint work with Tim Browning. The talk concerns the variety $X_1Y_1^2+X_2Y_2^2+X_3Y_3^2+X_4Y...
We study the number of representations of an integer n=F(x) by a homogeneous form in sufficiently ma...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
We prove Manin's conjecture for four singular quartic del Pezzo surfaces over imaginary quadratic nu...
Let F(x) =F[x1,...,xn]∈ℤ[x1,...,xn] be a non-singular form of degree d≥2, and let N(F, X)=#{xεℤ n ;F...
For any n ≧ 2, let F ε ℤ[x1, . . . , xn] be a form of degree d ≧ 2, which produces a geometrically i...
Motivated by a recent question of Peyre, we apply the Hardy–Littlewood circle method to count “suffi...
International audienceIn this note, we establish an asymptotic formula with a power-saving error ter...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
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